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Finding the Fourth Proportional to 177.71, 266.38 and 85.00

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Solution

The fourth proportional to 177.71, 266.38 and 85.00 is: 127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.71 : 266.38 = 85.00 : x
  2. Step 2: Convert to fraction form
    177.71/266.38 = 85.00/x
  3. Step 3: Cross multiply
    177.71x = 266.38 × 85.00
  4. Step 4: Simplify right side
    177.71x = 22,640.97
  5. Step 5: Solve for x
    x = 22,640.97/177.71
  6. Step 6: Final answer
    x = 127.41

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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.