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Finding the Fourth Proportional to 314.92, 471.90 and 229.48

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Solution

The fourth proportional to 314.92, 471.90 and 229.48 is: 343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.92 : 471.90 = 229.48 : x
  2. Step 2: Convert to fraction form
    314.92/471.90 = 229.48/x
  3. Step 3: Cross multiply
    314.92x = 471.90 × 229.48
  4. Step 4: Simplify right side
    314.92x = 108,291.61
  5. Step 5: Solve for x
    x = 108,291.61/314.92
  6. Step 6: Final answer
    x = 343.87

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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.