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Finding the Fourth Proportional to 449.32, 672.24 and 346.96

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Solution

The fourth proportional to 449.32, 672.24 and 346.96 is: 519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.32 : 672.24 = 346.96 : x
  2. Step 2: Convert to fraction form
    449.32/672.24 = 346.96/x
  3. Step 3: Cross multiply
    449.32x = 672.24 × 346.96
  4. Step 4: Simplify right side
    449.32x = 233,240.39
  5. Step 5: Solve for x
    x = 233,240.39/449.32
  6. Step 6: Final answer
    x = 519.10

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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.