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Finding the Fourth Proportional to 63.01, 94.38 and 42.70

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Solution

The fourth proportional to 63.01, 94.38 and 42.70 is: 63.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.01 : 94.38 = 42.70 : x
  2. Step 2: Convert to fraction form
    63.01/94.38 = 42.70/x
  3. Step 3: Cross multiply
    63.01x = 94.38 × 42.70
  4. Step 4: Simplify right side
    63.01x = 4,030.03
  5. Step 5: Solve for x
    x = 4,030.03/63.01
  6. Step 6: Final answer
    x = 63.96

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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.