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Finding the Fourth Proportional to 916.96, 1,375.76 and 267.79

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Solution

The fourth proportional to 916.96, 1,375.76 and 267.79 is: 401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.96 : 1,375.76 = 267.79 : x
  2. Step 2: Convert to fraction form
    916.96/1,375.76 = 267.79/x
  3. Step 3: Cross multiply
    916.96x = 1,375.76 × 267.79
  4. Step 4: Simplify right side
    916.96x = 368,415.49
  5. Step 5: Solve for x
    x = 368,415.49/916.96
  6. Step 6: Final answer
    x = 401.78

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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.