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Finding the Fourth Proportional to 343.92, 475.20 and 278.31

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Solution

The fourth proportional to 343.92, 475.20 and 278.31 is: 384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.92 : 475.20 = 278.31 : x
  2. Step 2: Convert to fraction form
    343.92/475.20 = 278.31/x
  3. Step 3: Cross multiply
    343.92x = 475.20 × 278.31
  4. Step 4: Simplify right side
    343.92x = 132,252.91
  5. Step 5: Solve for x
    x = 132,252.91/343.92
  6. Step 6: Final answer
    x = 384.55

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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.