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Finding the Fourth Proportional to 267.42, 400.77 and 122.82

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Solution

The fourth proportional to 267.42, 400.77 and 122.82 is: 184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.42 : 400.77 = 122.82 : x
  2. Step 2: Convert to fraction form
    267.42/400.77 = 122.82/x
  3. Step 3: Cross multiply
    267.42x = 400.77 × 122.82
  4. Step 4: Simplify right side
    267.42x = 49,222.57
  5. Step 5: Solve for x
    x = 49,222.57/267.42
  6. Step 6: Final answer
    x = 184.06

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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.