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Finding the Fourth Proportional to 267.82, 401.31 and 165.10

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Solution

The fourth proportional to 267.82, 401.31 and 165.10 is: 247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.82 : 401.31 = 165.10 : x
  2. Step 2: Convert to fraction form
    267.82/401.31 = 165.10/x
  3. Step 3: Cross multiply
    267.82x = 401.31 × 165.10
  4. Step 4: Simplify right side
    267.82x = 66,256.28
  5. Step 5: Solve for x
    x = 66,256.28/267.82
  6. Step 6: Final answer
    x = 247.39

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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.