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Finding the Fourth Proportional to 550.02, 824.23 and 344.00

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Solution

The fourth proportional to 550.02, 824.23 and 344.00 is: 515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.02 : 824.23 = 344.00 : x
  2. Step 2: Convert to fraction form
    550.02/824.23 = 344.00/x
  3. Step 3: Cross multiply
    550.02x = 824.23 × 344.00
  4. Step 4: Simplify right side
    550.02x = 283,531.04
  5. Step 5: Solve for x
    x = 283,531.04/550.02
  6. Step 6: Final answer
    x = 515.50

Related Problems

Find fourth proportional to 275.01, 412.11 and 172.00
Half scale
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Double scale
Find fourth proportional to 551.02, 825.72 and 345
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.