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Finding the Fourth Proportional to 129.98, 192.32 and 129.62

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Solution

The fourth proportional to 129.98, 192.32 and 129.62 is: 191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.98 : 192.32 = 129.62 : x
  2. Step 2: Convert to fraction form
    129.98/192.32 = 129.62/x
  3. Step 3: Cross multiply
    129.98x = 192.32 × 129.62
  4. Step 4: Simplify right side
    129.98x = 24,928.52
  5. Step 5: Solve for x
    x = 24,928.52/129.98
  6. Step 6: Final answer
    x = 191.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.