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Finding the Fourth Proportional to 130.47, 194.69 and 129.71

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Solution

The fourth proportional to 130.47, 194.69 and 129.71 is: 193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.47 : 194.69 = 129.71 : x
  2. Step 2: Convert to fraction form
    130.47/194.69 = 129.71/x
  3. Step 3: Cross multiply
    130.47x = 194.69 × 129.71
  4. Step 4: Simplify right side
    130.47x = 25,253.32
  5. Step 5: Solve for x
    x = 25,253.32/130.47
  6. Step 6: Final answer
    x = 193.55

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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.