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Finding the Fourth Proportional to 129.40, 195.01 and 116.58

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Solution

The fourth proportional to 129.40, 195.01 and 116.58 is: 175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.40 : 195.01 = 116.58 : x
  2. Step 2: Convert to fraction form
    129.40/195.01 = 116.58/x
  3. Step 3: Cross multiply
    129.40x = 195.01 × 116.58
  4. Step 4: Simplify right side
    129.40x = 22,732.71
  5. Step 5: Solve for x
    x = 22,732.71/129.40
  6. Step 6: Final answer
    x = 175.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.