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Finding the Fourth Proportional to 422.48, 632.91 and 248.78

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Solution

The fourth proportional to 422.48, 632.91 and 248.78 is: 372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.48 : 632.91 = 248.78 : x
  2. Step 2: Convert to fraction form
    422.48/632.91 = 248.78/x
  3. Step 3: Cross multiply
    422.48x = 632.91 × 248.78
  4. Step 4: Simplify right side
    422.48x = 157,455.35
  5. Step 5: Solve for x
    x = 157,455.35/422.48
  6. Step 6: Final answer
    x = 372.69

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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.