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Finding the Fourth Proportional to 267.72, 369.41 and 151.28

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Solution

The fourth proportional to 267.72, 369.41 and 151.28 is: 208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.72 : 369.41 = 151.28 : x
  2. Step 2: Convert to fraction form
    267.72/369.41 = 151.28/x
  3. Step 3: Cross multiply
    267.72x = 369.41 × 151.28
  4. Step 4: Simplify right side
    267.72x = 55,884.34
  5. Step 5: Solve for x
    x = 55,884.34/267.72
  6. Step 6: Final answer
    x = 208.74

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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.