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Finding the Fourth Proportional to 129.72, 193.19 and 129.05

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Solution

The fourth proportional to 129.72, 193.19 and 129.05 is: 192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.72 : 193.19 = 129.05 : x
  2. Step 2: Convert to fraction form
    129.72/193.19 = 129.05/x
  3. Step 3: Cross multiply
    129.72x = 193.19 × 129.05
  4. Step 4: Simplify right side
    129.72x = 24,931.17
  5. Step 5: Solve for x
    x = 24,931.17/129.72
  6. Step 6: Final answer
    x = 192.19

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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.