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Finding the Fourth Proportional to 550.20, 824.58 and 225.20

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Solution

The fourth proportional to 550.20, 824.58 and 225.20 is: 337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.20 : 824.58 = 225.20 : x
  2. Step 2: Convert to fraction form
    550.20/824.58 = 225.20/x
  3. Step 3: Cross multiply
    550.20x = 824.58 × 225.20
  4. Step 4: Simplify right side
    550.20x = 185,691.29
  5. Step 5: Solve for x
    x = 185,691.29/550.20
  6. Step 6: Final answer
    x = 337.50

Related Problems

Find fourth proportional to 275.10, 412.29 and 112.60
Half scale
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Double scale
Find fourth proportional to 551.20, 826.08 and 226.20
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.