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Finding the Fourth Proportional to 316.27, 435.96 and 249.76

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Solution

The fourth proportional to 316.27, 435.96 and 249.76 is: 344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.27 : 435.96 = 249.76 : x
  2. Step 2: Convert to fraction form
    316.27/435.96 = 249.76/x
  3. Step 3: Cross multiply
    316.27x = 435.96 × 249.76
  4. Step 4: Simplify right side
    316.27x = 108,883.81
  5. Step 5: Solve for x
    x = 108,883.81/316.27
  6. Step 6: Final answer
    x = 344.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.