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Finding the Fourth Proportional to 42.33, 63.45 and 33.78

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Solution

The fourth proportional to 42.33, 63.45 and 33.78 is: 50.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.33 : 63.45 = 33.78 : x
  2. Step 2: Convert to fraction form
    42.33/63.45 = 33.78/x
  3. Step 3: Cross multiply
    42.33x = 63.45 × 33.78
  4. Step 4: Simplify right side
    42.33x = 2,143.34
  5. Step 5: Solve for x
    x = 2,143.34/42.33
  6. Step 6: Final answer
    x = 50.63

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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.