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Finding the Fourth Proportional to 267.44, 400.48 and 215.14

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Solution

The fourth proportional to 267.44, 400.48 and 215.14 is: 322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.44 : 400.48 = 215.14 : x
  2. Step 2: Convert to fraction form
    267.44/400.48 = 215.14/x
  3. Step 3: Cross multiply
    267.44x = 400.48 × 215.14
  4. Step 4: Simplify right side
    267.44x = 86,157.73
  5. Step 5: Solve for x
    x = 86,157.73/267.44
  6. Step 6: Final answer
    x = 322.15

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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.