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Finding the Fourth Proportional to 186.31, 257.15 and 124.15

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Solution

The fourth proportional to 186.31, 257.15 and 124.15 is: 171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.31 : 257.15 = 124.15 : x
  2. Step 2: Convert to fraction form
    186.31/257.15 = 124.15/x
  3. Step 3: Cross multiply
    186.31x = 257.15 × 124.15
  4. Step 4: Simplify right side
    186.31x = 31,925.17
  5. Step 5: Solve for x
    x = 31,925.17/186.31
  6. Step 6: Final answer
    x = 171.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.