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Finding the Fourth Proportional to 267.50, 400.16 and 230.39

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Solution

The fourth proportional to 267.50, 400.16 and 230.39 is: 344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.50 : 400.16 = 230.39 : x
  2. Step 2: Convert to fraction form
    267.50/400.16 = 230.39/x
  3. Step 3: Cross multiply
    267.50x = 400.16 × 230.39
  4. Step 4: Simplify right side
    267.50x = 92,192.86
  5. Step 5: Solve for x
    x = 92,192.86/267.50
  6. Step 6: Final answer
    x = 344.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.