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Finding the Fourth Proportional to 666.61, 1,000.07 and 227.87

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Solution

The fourth proportional to 666.61, 1,000.07 and 227.87 is: 341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.61 : 1,000.07 = 227.87 : x
  2. Step 2: Convert to fraction form
    666.61/1,000.07 = 227.87/x
  3. Step 3: Cross multiply
    666.61x = 1,000.07 × 227.87
  4. Step 4: Simplify right side
    666.61x = 227,883.82
  5. Step 5: Solve for x
    x = 227,883.82/666.61
  6. Step 6: Final answer
    x = 341.85

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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.