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Finding the Fourth Proportional to 449.06, 672.91 and 205.52

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Solution

The fourth proportional to 449.06, 672.91 and 205.52 is: 307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.06 : 672.91 = 205.52 : x
  2. Step 2: Convert to fraction form
    449.06/672.91 = 205.52/x
  3. Step 3: Cross multiply
    449.06x = 672.91 × 205.52
  4. Step 4: Simplify right side
    449.06x = 138,292.58
  5. Step 5: Solve for x
    x = 138,292.58/449.06
  6. Step 6: Final answer
    x = 307.96

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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.