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Finding the Fourth Proportional to 116.32, 174.55 and 39.31

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Solution

The fourth proportional to 116.32, 174.55 and 39.31 is: 58.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.32 : 174.55 = 39.31 : x
  2. Step 2: Convert to fraction form
    116.32/174.55 = 39.31/x
  3. Step 3: Cross multiply
    116.32x = 174.55 × 39.31
  4. Step 4: Simplify right side
    116.32x = 6,861.56
  5. Step 5: Solve for x
    x = 6,861.56/116.32
  6. Step 6: Final answer
    x = 58.99

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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.