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Finding the Fourth Proportional to 449.02, 672.99 and 174.97

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Solution

The fourth proportional to 449.02, 672.99 and 174.97 is: 262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.02 : 672.99 = 174.97 : x
  2. Step 2: Convert to fraction form
    449.02/672.99 = 174.97/x
  3. Step 3: Cross multiply
    449.02x = 672.99 × 174.97
  4. Step 4: Simplify right side
    449.02x = 117,753.06
  5. Step 5: Solve for x
    x = 117,753.06/449.02
  6. Step 6: Final answer
    x = 262.24

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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.