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Finding the Fourth Proportional to 177.97, 265.92 and 139.36

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Solution

The fourth proportional to 177.97, 265.92 and 139.36 is: 208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.97 : 265.92 = 139.36 : x
  2. Step 2: Convert to fraction form
    177.97/265.92 = 139.36/x
  3. Step 3: Cross multiply
    177.97x = 265.92 × 139.36
  4. Step 4: Simplify right side
    177.97x = 37,057.95
  5. Step 5: Solve for x
    x = 37,057.95/177.97
  6. Step 6: Final answer
    x = 208.23

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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.