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Finding the Fourth Proportional to 289.38, 436.16 and 249.29

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Solution

The fourth proportional to 289.38, 436.16 and 249.29 is: 375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.38 : 436.16 = 249.29 : x
  2. Step 2: Convert to fraction form
    289.38/436.16 = 249.29/x
  3. Step 3: Cross multiply
    289.38x = 436.16 × 249.29
  4. Step 4: Simplify right side
    289.38x = 108,726.90
  5. Step 5: Solve for x
    x = 108,726.90/289.38
  6. Step 6: Final answer
    x = 375.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.