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Finding the Fourth Proportional to 267.36, 398.76 and 257.76

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Solution

The fourth proportional to 267.36, 398.76 and 257.76 is: 384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.36 : 398.76 = 257.76 : x
  2. Step 2: Convert to fraction form
    267.36/398.76 = 257.76/x
  3. Step 3: Cross multiply
    267.36x = 398.76 × 257.76
  4. Step 4: Simplify right side
    267.36x = 102,784.38
  5. Step 5: Solve for x
    x = 102,784.38/267.36
  6. Step 6: Final answer
    x = 384.44

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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.