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Finding the Fourth Proportional to 550.76, 826.24 and 185.64

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Solution

The fourth proportional to 550.76, 826.24 and 185.64 is: 278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.76 : 826.24 = 185.64 : x
  2. Step 2: Convert to fraction form
    550.76/826.24 = 185.64/x
  3. Step 3: Cross multiply
    550.76x = 826.24 × 185.64
  4. Step 4: Simplify right side
    550.76x = 153,383.19
  5. Step 5: Solve for x
    x = 153,383.19/550.76
  6. Step 6: Final answer
    x = 278.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 551.76, 827.74 and 186.64
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.