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Finding the Fourth Proportional to 186.62, 257.62 and 124.50

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Solution

The fourth proportional to 186.62, 257.62 and 124.50 is: 171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.62 : 257.62 = 124.50 : x
  2. Step 2: Convert to fraction form
    186.62/257.62 = 124.50/x
  3. Step 3: Cross multiply
    186.62x = 257.62 × 124.50
  4. Step 4: Simplify right side
    186.62x = 32,073.69
  5. Step 5: Solve for x
    x = 32,073.69/186.62
  6. Step 6: Final answer
    x = 171.87

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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.