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Finding the Fourth Proportional to 177.68, 266.57 and 85.20

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Solution

The fourth proportional to 177.68, 266.57 and 85.20 is: 127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 266.57 = 85.20 : x
  2. Step 2: Convert to fraction form
    177.68/266.57 = 85.20/x
  3. Step 3: Cross multiply
    177.68x = 266.57 × 85.20
  4. Step 4: Simplify right side
    177.68x = 22,711.98
  5. Step 5: Solve for x
    x = 22,711.98/177.68
  6. Step 6: Final answer
    x = 127.83

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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.