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Finding the Fourth Proportional to 129.42, 178.38 and 100.26

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Solution

The fourth proportional to 129.42, 178.38 and 100.26 is: 138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.42 : 178.38 = 100.26 : x
  2. Step 2: Convert to fraction form
    129.42/178.38 = 100.26/x
  3. Step 3: Cross multiply
    129.42x = 178.38 × 100.26
  4. Step 4: Simplify right side
    129.42x = 17,884.38
  5. Step 5: Solve for x
    x = 17,884.38/129.42
  6. Step 6: Final answer
    x = 138.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.