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Finding the Fourth Proportional to 42.23, 63.19 and 31.37

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Solution

The fourth proportional to 42.23, 63.19 and 31.37 is: 46.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.23 : 63.19 = 31.37 : x
  2. Step 2: Convert to fraction form
    42.23/63.19 = 31.37/x
  3. Step 3: Cross multiply
    42.23x = 63.19 × 31.37
  4. Step 4: Simplify right side
    42.23x = 1,982.27
  5. Step 5: Solve for x
    x = 1,982.27/42.23
  6. Step 6: Final answer
    x = 46.94

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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.