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Finding the Fourth Proportional to 316.91, 437.19 and 229.43

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Solution

The fourth proportional to 316.91, 437.19 and 229.43 is: 316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.91 : 437.19 = 229.43 : x
  2. Step 2: Convert to fraction form
    316.91/437.19 = 229.43/x
  3. Step 3: Cross multiply
    316.91x = 437.19 × 229.43
  4. Step 4: Simplify right side
    316.91x = 100,304.50
  5. Step 5: Solve for x
    x = 100,304.50/316.91
  6. Step 6: Final answer
    x = 316.51

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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.