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Finding the Fourth Proportional to 422.77, 634.22 and 148.87

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Solution

The fourth proportional to 422.77, 634.22 and 148.87 is: 223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.77 : 634.22 = 148.87 : x
  2. Step 2: Convert to fraction form
    422.77/634.22 = 148.87/x
  3. Step 3: Cross multiply
    422.77x = 634.22 × 148.87
  4. Step 4: Simplify right side
    422.77x = 94,412.42
  5. Step 5: Solve for x
    x = 94,412.42/422.77
  6. Step 6: Final answer
    x = 223.32

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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.