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Finding the Fourth Proportional to 129.01, 192.08 and 127.42

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Solution

The fourth proportional to 129.01, 192.08 and 127.42 is: 189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.01 : 192.08 = 127.42 : x
  2. Step 2: Convert to fraction form
    129.01/192.08 = 127.42/x
  3. Step 3: Cross multiply
    129.01x = 192.08 × 127.42
  4. Step 4: Simplify right side
    129.01x = 24,474.83
  5. Step 5: Solve for x
    x = 24,474.83/129.01
  6. Step 6: Final answer
    x = 189.71

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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.