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Finding the Fourth Proportional to 129.65, 193.63 and 116.15

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Solution

The fourth proportional to 129.65, 193.63 and 116.15 is: 173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.65 : 193.63 = 116.15 : x
  2. Step 2: Convert to fraction form
    129.65/193.63 = 116.15/x
  3. Step 3: Cross multiply
    129.65x = 193.63 × 116.15
  4. Step 4: Simplify right side
    129.65x = 22,490.12
  5. Step 5: Solve for x
    x = 22,490.12/129.65
  6. Step 6: Final answer
    x = 173.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.