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Finding the Fourth Proportional to 116.48, 174.68 and 39.43

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Solution

The fourth proportional to 116.48, 174.68 and 39.43 is: 59.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.48 : 174.68 = 39.43 : x
  2. Step 2: Convert to fraction form
    116.48/174.68 = 39.43/x
  3. Step 3: Cross multiply
    116.48x = 174.68 × 39.43
  4. Step 4: Simplify right side
    116.48x = 6,886.76
  5. Step 5: Solve for x
    x = 6,886.76/116.48
  6. Step 6: Final answer
    x = 59.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.