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Finding the Fourth Proportional to 130.72, 195.15 and 126.22

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Solution

The fourth proportional to 130.72, 195.15 and 126.22 is: 188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.72 : 195.15 = 126.22 : x
  2. Step 2: Convert to fraction form
    130.72/195.15 = 126.22/x
  3. Step 3: Cross multiply
    130.72x = 195.15 × 126.22
  4. Step 4: Simplify right side
    130.72x = 24,631.83
  5. Step 5: Solve for x
    x = 24,631.83/130.72
  6. Step 6: Final answer
    x = 188.43

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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.