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Finding the Fourth Proportional to 672.23, 1,008.25 and 209.90

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Solution

The fourth proportional to 672.23, 1,008.25 and 209.90 is: 314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.23 : 1,008.25 = 209.90 : x
  2. Step 2: Convert to fraction form
    672.23/1,008.25 = 209.90/x
  3. Step 3: Cross multiply
    672.23x = 1,008.25 × 209.90
  4. Step 4: Simplify right side
    672.23x = 211,631.68
  5. Step 5: Solve for x
    x = 211,631.68/672.23
  6. Step 6: Final answer
    x = 314.82

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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.