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Finding the Fourth Proportional to 42.67, 63.90 and 33.02

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Solution

The fourth proportional to 42.67, 63.90 and 33.02 is: 49.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.67 : 63.90 = 33.02 : x
  2. Step 2: Convert to fraction form
    42.67/63.90 = 33.02/x
  3. Step 3: Cross multiply
    42.67x = 63.90 × 33.02
  4. Step 4: Simplify right side
    42.67x = 2,109.49
  5. Step 5: Solve for x
    x = 2,109.49/42.67
  6. Step 6: Final answer
    x = 49.44

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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.