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Finding the Fourth Proportional to 267.06, 401 and 105.06

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Solution

The fourth proportional to 267.06, 401 and 105.06 is: 157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.06 : 401 = 105.06 : x
  2. Step 2: Convert to fraction form
    267.06/401 = 105.06/x
  3. Step 3: Cross multiply
    267.06x = 401 × 105.06
  4. Step 4: Simplify right side
    267.06x = 42,129.06
  5. Step 5: Solve for x
    x = 42,129.06/267.06
  6. Step 6: Final answer
    x = 157.75

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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.