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Finding the Fourth Proportional to 267.96, 400.29 and 258.36

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Solution

The fourth proportional to 267.96, 400.29 and 258.36 is: 385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.96 : 400.29 = 258.36 : x
  2. Step 2: Convert to fraction form
    267.96/400.29 = 258.36/x
  3. Step 3: Cross multiply
    267.96x = 400.29 × 258.36
  4. Step 4: Simplify right side
    267.96x = 103,418.92
  5. Step 5: Solve for x
    x = 103,418.92/267.96
  6. Step 6: Final answer
    x = 385.95

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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.