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Finding the Fourth Proportional to 422.02, 632.91 and 178.39

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Solution

The fourth proportional to 422.02, 632.91 and 178.39 is: 267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.02 : 632.91 = 178.39 : x
  2. Step 2: Convert to fraction form
    422.02/632.91 = 178.39/x
  3. Step 3: Cross multiply
    422.02x = 632.91 × 178.39
  4. Step 4: Simplify right side
    422.02x = 112,901.65
  5. Step 5: Solve for x
    x = 112,901.65/422.02
  6. Step 6: Final answer
    x = 267.53

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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.