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Finding the Fourth Proportional to 672.10, 1,008.29 and 209.86

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Solution

The fourth proportional to 672.10, 1,008.29 and 209.86 is: 314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.10 : 1,008.29 = 209.86 : x
  2. Step 2: Convert to fraction form
    672.10/1,008.29 = 209.86/x
  3. Step 3: Cross multiply
    672.10x = 1,008.29 × 209.86
  4. Step 4: Simplify right side
    672.10x = 211,597.74
  5. Step 5: Solve for x
    x = 211,597.74/672.10
  6. Step 6: Final answer
    x = 314.83

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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.