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Finding the Fourth Proportional to 101.61, 152.38 and 33.12

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Solution

The fourth proportional to 101.61, 152.38 and 33.12 is: 49.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.61 : 152.38 = 33.12 : x
  2. Step 2: Convert to fraction form
    101.61/152.38 = 33.12/x
  3. Step 3: Cross multiply
    101.61x = 152.38 × 33.12
  4. Step 4: Simplify right side
    101.61x = 5,046.17
  5. Step 5: Solve for x
    x = 5,046.17/101.61
  6. Step 6: Final answer
    x = 49.66

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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.