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Finding the Fourth Proportional to 422.15, 633.48 and 148.31

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Solution

The fourth proportional to 422.15, 633.48 and 148.31 is: 222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.15 : 633.48 = 148.31 : x
  2. Step 2: Convert to fraction form
    422.15/633.48 = 148.31/x
  3. Step 3: Cross multiply
    422.15x = 633.48 × 148.31
  4. Step 4: Simplify right side
    422.15x = 93,948.25
  5. Step 5: Solve for x
    x = 93,948.25/422.15
  6. Step 6: Final answer
    x = 222.55

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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.