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Finding the Fourth Proportional to 267.77, 399.47 and 249.14

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Solution

The fourth proportional to 267.77, 399.47 and 249.14 is: 371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.77 : 399.47 = 249.14 : x
  2. Step 2: Convert to fraction form
    267.77/399.47 = 249.14/x
  3. Step 3: Cross multiply
    267.77x = 399.47 × 249.14
  4. Step 4: Simplify right side
    267.77x = 99,520.71
  5. Step 5: Solve for x
    x = 99,520.71/267.77
  6. Step 6: Final answer
    x = 371.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.