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Finding the Fourth Proportional to 177.71, 265.18 and 140.73

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Solution

The fourth proportional to 177.71, 265.18 and 140.73 is: 209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.71 : 265.18 = 140.73 : x
  2. Step 2: Convert to fraction form
    177.71/265.18 = 140.73/x
  3. Step 3: Cross multiply
    177.71x = 265.18 × 140.73
  4. Step 4: Simplify right side
    177.71x = 37,318.05
  5. Step 5: Solve for x
    x = 37,318.05/177.71
  6. Step 6: Final answer
    x = 209.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.