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Finding the Fourth Proportional to 267.77, 401.22 and 105.37

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Solution

The fourth proportional to 267.77, 401.22 and 105.37 is: 157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.77 : 401.22 = 105.37 : x
  2. Step 2: Convert to fraction form
    267.77/401.22 = 105.37/x
  3. Step 3: Cross multiply
    267.77x = 401.22 × 105.37
  4. Step 4: Simplify right side
    267.77x = 42,275.55
  5. Step 5: Solve for x
    x = 42,275.55/267.77
  6. Step 6: Final answer
    x = 157.88

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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.