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Finding the Fourth Proportional to 267.53, 369.27 and 157.00

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Solution

The fourth proportional to 267.53, 369.27 and 157.00 is: 216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.53 : 369.27 = 157.00 : x
  2. Step 2: Convert to fraction form
    267.53/369.27 = 157.00/x
  3. Step 3: Cross multiply
    267.53x = 369.27 × 157.00
  4. Step 4: Simplify right side
    267.53x = 57,974.47
  5. Step 5: Solve for x
    x = 57,974.47/267.53
  6. Step 6: Final answer
    x = 216.71

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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.