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Finding the Fourth Proportional to 422.81, 634.50 and 148.90

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Solution

The fourth proportional to 422.81, 634.50 and 148.90 is: 223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.81 : 634.50 = 148.90 : x
  2. Step 2: Convert to fraction form
    422.81/634.50 = 148.90/x
  3. Step 3: Cross multiply
    422.81x = 634.50 × 148.90
  4. Step 4: Simplify right side
    422.81x = 94,476.31
  5. Step 5: Solve for x
    x = 94,476.31/422.81
  6. Step 6: Final answer
    x = 223.45

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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.