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Finding the Fourth Proportional to 267.78, 399.73 and 247.74

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Solution

The fourth proportional to 267.78, 399.73 and 247.74 is: 369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.78 : 399.73 = 247.74 : x
  2. Step 2: Convert to fraction form
    267.78/399.73 = 247.74/x
  3. Step 3: Cross multiply
    267.78x = 399.73 × 247.74
  4. Step 4: Simplify right side
    267.78x = 99,029.11
  5. Step 5: Solve for x
    x = 99,029.11/267.78
  6. Step 6: Final answer
    x = 369.82

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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.