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Finding the Fourth Proportional to 129.05, 192.58 and 115.38

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Solution

The fourth proportional to 129.05, 192.58 and 115.38 is: 172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.05 : 192.58 = 115.38 : x
  2. Step 2: Convert to fraction form
    129.05/192.58 = 115.38/x
  3. Step 3: Cross multiply
    129.05x = 192.58 × 115.38
  4. Step 4: Simplify right side
    129.05x = 22,218.34
  5. Step 5: Solve for x
    x = 22,218.34/129.05
  6. Step 6: Final answer
    x = 172.17

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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.