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Finding the Fourth Proportional to 267.67, 369.25 and 157.13

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Solution

The fourth proportional to 267.67, 369.25 and 157.13 is: 216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.67 : 369.25 = 157.13 : x
  2. Step 2: Convert to fraction form
    267.67/369.25 = 157.13/x
  3. Step 3: Cross multiply
    267.67x = 369.25 × 157.13
  4. Step 4: Simplify right side
    267.67x = 58,018.01
  5. Step 5: Solve for x
    x = 58,018.01/267.67
  6. Step 6: Final answer
    x = 216.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.