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Finding the Fourth Proportional to 130.72, 194.42 and 129.28

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Solution

The fourth proportional to 130.72, 194.42 and 129.28 is: 192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.72 : 194.42 = 129.28 : x
  2. Step 2: Convert to fraction form
    130.72/194.42 = 129.28/x
  3. Step 3: Cross multiply
    130.72x = 194.42 × 129.28
  4. Step 4: Simplify right side
    130.72x = 25,134.62
  5. Step 5: Solve for x
    x = 25,134.62/130.72
  6. Step 6: Final answer
    x = 192.28

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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.