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Finding the Fourth Proportional to 422.66, 632.29 and 365.50

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Solution

The fourth proportional to 422.66, 632.29 and 365.50 is: 546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.66 : 632.29 = 365.50 : x
  2. Step 2: Convert to fraction form
    422.66/632.29 = 365.50/x
  3. Step 3: Cross multiply
    422.66x = 632.29 × 365.50
  4. Step 4: Simplify right side
    422.66x = 231,098.83
  5. Step 5: Solve for x
    x = 231,098.83/422.66
  6. Step 6: Final answer
    x = 546.78

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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.