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Finding the Fourth Proportional to 449.04, 672.96 and 232.77

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Solution

The fourth proportional to 449.04, 672.96 and 232.77 is: 348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.04 : 672.96 = 232.77 : x
  2. Step 2: Convert to fraction form
    449.04/672.96 = 232.77/x
  3. Step 3: Cross multiply
    449.04x = 672.96 × 232.77
  4. Step 4: Simplify right side
    449.04x = 156,643.74
  5. Step 5: Solve for x
    x = 156,643.74/449.04
  6. Step 6: Final answer
    x = 348.84

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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.