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Finding the Fourth Proportional to 422.65, 634.12 and 148.78

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Solution

The fourth proportional to 422.65, 634.12 and 148.78 is: 223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.65 : 634.12 = 148.78 : x
  2. Step 2: Convert to fraction form
    422.65/634.12 = 148.78/x
  3. Step 3: Cross multiply
    422.65x = 634.12 × 148.78
  4. Step 4: Simplify right side
    422.65x = 94,342.42
  5. Step 5: Solve for x
    x = 94,342.42/422.65
  6. Step 6: Final answer
    x = 223.22

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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.