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Finding the Fourth Proportional to 449.19, 672.78 and 253.74

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Solution

The fourth proportional to 449.19, 672.78 and 253.74 is: 380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.19 : 672.78 = 253.74 : x
  2. Step 2: Convert to fraction form
    449.19/672.78 = 253.74/x
  3. Step 3: Cross multiply
    449.19x = 672.78 × 253.74
  4. Step 4: Simplify right side
    449.19x = 170,711.20
  5. Step 5: Solve for x
    x = 170,711.20/449.19
  6. Step 6: Final answer
    x = 380.04

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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.