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Finding the Fourth Proportional to 101.33, 151.90 and 32.81

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Solution

The fourth proportional to 101.33, 151.90 and 32.81 is: 49.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.33 : 151.90 = 32.81 : x
  2. Step 2: Convert to fraction form
    101.33/151.90 = 32.81/x
  3. Step 3: Cross multiply
    101.33x = 151.90 × 32.81
  4. Step 4: Simplify right side
    101.33x = 4,982.95
  5. Step 5: Solve for x
    x = 4,982.95/101.33
  6. Step 6: Final answer
    x = 49.18

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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.