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Finding the Fourth Proportional to 267.50, 401.01 and 157.69

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Solution

The fourth proportional to 267.50, 401.01 and 157.69 is: 236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.50 : 401.01 = 157.69 : x
  2. Step 2: Convert to fraction form
    267.50/401.01 = 157.69/x
  3. Step 3: Cross multiply
    267.50x = 401.01 × 157.69
  4. Step 4: Simplify right side
    267.50x = 63,234.26
  5. Step 5: Solve for x
    x = 63,234.26/267.50
  6. Step 6: Final answer
    x = 236.39

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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.