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Finding the Fourth Proportional to 666.83, 1,000.40 and 204.61

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Solution

The fourth proportional to 666.83, 1,000.40 and 204.61 is: 306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.83 : 1,000.40 = 204.61 : x
  2. Step 2: Convert to fraction form
    666.83/1,000.40 = 204.61/x
  3. Step 3: Cross multiply
    666.83x = 1,000.40 × 204.61
  4. Step 4: Simplify right side
    666.83x = 204,691.84
  5. Step 5: Solve for x
    x = 204,691.84/666.83
  6. Step 6: Final answer
    x = 306.96

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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.