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Finding the Fourth Proportional to 267.87, 401.86 and 121.57

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Solution

The fourth proportional to 267.87, 401.86 and 121.57 is: 182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.87 : 401.86 = 121.57 : x
  2. Step 2: Convert to fraction form
    267.87/401.86 = 121.57/x
  3. Step 3: Cross multiply
    267.87x = 401.86 × 121.57
  4. Step 4: Simplify right side
    267.87x = 48,853.27
  5. Step 5: Solve for x
    x = 48,853.27/267.87
  6. Step 6: Final answer
    x = 182.37

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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.