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Finding the Fourth Proportional to 267.65, 400.76 and 252.30

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Solution

The fourth proportional to 267.65, 400.76 and 252.30 is: 377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.65 : 400.76 = 252.30 : x
  2. Step 2: Convert to fraction form
    267.65/400.76 = 252.30/x
  3. Step 3: Cross multiply
    267.65x = 400.76 × 252.30
  4. Step 4: Simplify right side
    267.65x = 101,111.75
  5. Step 5: Solve for x
    x = 101,111.75/267.65
  6. Step 6: Final answer
    x = 377.78

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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.