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Finding the Fourth Proportional to 267.32, 401.04 and 158.96

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Solution

The fourth proportional to 267.32, 401.04 and 158.96 is: 238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.32 : 401.04 = 158.96 : x
  2. Step 2: Convert to fraction form
    267.32/401.04 = 158.96/x
  3. Step 3: Cross multiply
    267.32x = 401.04 × 158.96
  4. Step 4: Simplify right side
    267.32x = 63,749.32
  5. Step 5: Solve for x
    x = 63,749.32/267.32
  6. Step 6: Final answer
    x = 238.48

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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.