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Finding the Fourth Proportional to 101.39, 152.10 and 40.52

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Solution

The fourth proportional to 101.39, 152.10 and 40.52 is: 60.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.39 : 152.10 = 40.52 : x
  2. Step 2: Convert to fraction form
    101.39/152.10 = 40.52/x
  3. Step 3: Cross multiply
    101.39x = 152.10 × 40.52
  4. Step 4: Simplify right side
    101.39x = 6,162.13
  5. Step 5: Solve for x
    x = 6,162.13/101.39
  6. Step 6: Final answer
    x = 60.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.