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Finding the Fourth Proportional to 102.01, 152.92 and 33.49

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Solution

The fourth proportional to 102.01, 152.92 and 33.49 is: 50.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.01 : 152.92 = 33.49 : x
  2. Step 2: Convert to fraction form
    102.01/152.92 = 33.49/x
  3. Step 3: Cross multiply
    102.01x = 152.92 × 33.49
  4. Step 4: Simplify right side
    102.01x = 5,121.29
  5. Step 5: Solve for x
    x = 5,121.29/102.01
  6. Step 6: Final answer
    x = 50.20

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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.