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Finding the Fourth Proportional to 296.46, 408.87 and 267.66

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Solution

The fourth proportional to 296.46, 408.87 and 267.66 is: 369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.46 : 408.87 = 267.66 : x
  2. Step 2: Convert to fraction form
    296.46/408.87 = 267.66/x
  3. Step 3: Cross multiply
    296.46x = 408.87 × 267.66
  4. Step 4: Simplify right side
    296.46x = 109,438.14
  5. Step 5: Solve for x
    x = 109,438.14/296.46
  6. Step 6: Final answer
    x = 369.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.