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Finding the Fourth Proportional to 186.40, 257.20 and 116.47

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Solution

The fourth proportional to 186.40, 257.20 and 116.47 is: 160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.40 : 257.20 = 116.47 : x
  2. Step 2: Convert to fraction form
    186.40/257.20 = 116.47/x
  3. Step 3: Cross multiply
    186.40x = 257.20 × 116.47
  4. Step 4: Simplify right side
    186.40x = 29,956.77
  5. Step 5: Solve for x
    x = 29,956.77/186.40
  6. Step 6: Final answer
    x = 160.71

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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.