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Finding the Fourth Proportional to 422.15, 632.82 and 148.06

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Solution

The fourth proportional to 422.15, 632.82 and 148.06 is: 221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.15 : 632.82 = 148.06 : x
  2. Step 2: Convert to fraction form
    422.15/632.82 = 148.06/x
  3. Step 3: Cross multiply
    422.15x = 632.82 × 148.06
  4. Step 4: Simplify right side
    422.15x = 93,691.42
  5. Step 5: Solve for x
    x = 93,691.42/422.15
  6. Step 6: Final answer
    x = 221.94

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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.