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Finding the Fourth Proportional to 314.20, 431.12 and 308.74

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Solution

The fourth proportional to 314.20, 431.12 and 308.74 is: 423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.20 : 431.12 = 308.74 : x
  2. Step 2: Convert to fraction form
    314.20/431.12 = 308.74/x
  3. Step 3: Cross multiply
    314.20x = 431.12 × 308.74
  4. Step 4: Simplify right side
    314.20x = 133,103.28
  5. Step 5: Solve for x
    x = 133,103.28/314.20
  6. Step 6: Final answer
    x = 423.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.