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Finding the Fourth Proportional to 42.42, 63.54 and 31.68

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Solution

The fourth proportional to 42.42, 63.54 and 31.68 is: 47.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.42 : 63.54 = 31.68 : x
  2. Step 2: Convert to fraction form
    42.42/63.54 = 31.68/x
  3. Step 3: Cross multiply
    42.42x = 63.54 × 31.68
  4. Step 4: Simplify right side
    42.42x = 2,012.95
  5. Step 5: Solve for x
    x = 2,012.95/42.42
  6. Step 6: Final answer
    x = 47.45

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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.