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Finding the Fourth Proportional to 267.75, 401.67 and 263.16

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Solution

The fourth proportional to 267.75, 401.67 and 263.16 is: 394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.75 : 401.67 = 263.16 : x
  2. Step 2: Convert to fraction form
    267.75/401.67 = 263.16/x
  3. Step 3: Cross multiply
    267.75x = 401.67 × 263.16
  4. Step 4: Simplify right side
    267.75x = 105,703.48
  5. Step 5: Solve for x
    x = 105,703.48/267.75
  6. Step 6: Final answer
    x = 394.78

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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.