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Finding the Fourth Proportional to 267.63, 401.48 and 105.29

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Solution

The fourth proportional to 267.63, 401.48 and 105.29 is: 157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.63 : 401.48 = 105.29 : x
  2. Step 2: Convert to fraction form
    267.63/401.48 = 105.29/x
  3. Step 3: Cross multiply
    267.63x = 401.48 × 105.29
  4. Step 4: Simplify right side
    267.63x = 42,269.30
  5. Step 5: Solve for x
    x = 42,269.30/267.63
  6. Step 6: Final answer
    x = 157.94

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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.