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Finding the Fourth Proportional to 100.46, 138.77 and 74.29

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Solution

The fourth proportional to 100.46, 138.77 and 74.29 is: 102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.46 : 138.77 = 74.29 : x
  2. Step 2: Convert to fraction form
    100.46/138.77 = 74.29/x
  3. Step 3: Cross multiply
    100.46x = 138.77 × 74.29
  4. Step 4: Simplify right side
    100.46x = 10,308.16
  5. Step 5: Solve for x
    x = 10,308.16/100.46
  6. Step 6: Final answer
    x = 102.61

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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.