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Finding the Fourth Proportional to 267, 398.42 and 242.76

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Solution

The fourth proportional to 267, 398.42 and 242.76 is: 362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267 : 398.42 = 242.76 : x
  2. Step 2: Convert to fraction form
    267/398.42 = 242.76/x
  3. Step 3: Cross multiply
    267x = 398.42 × 242.76
  4. Step 4: Simplify right side
    267x = 96,720.44
  5. Step 5: Solve for x
    x = 96,720.44/267
  6. Step 6: Final answer
    x = 362.25

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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.