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Finding the Fourth Proportional to 422.81, 632.62 and 249.53

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Solution

The fourth proportional to 422.81, 632.62 and 249.53 is: 373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.81 : 632.62 = 249.53 : x
  2. Step 2: Convert to fraction form
    422.81/632.62 = 249.53/x
  3. Step 3: Cross multiply
    422.81x = 632.62 × 249.53
  4. Step 4: Simplify right side
    422.81x = 157,858.63
  5. Step 5: Solve for x
    x = 157,858.63/422.81
  6. Step 6: Final answer
    x = 373.36

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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.