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Finding the Fourth Proportional to 267.48, 398.34 and 261.14

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Solution

The fourth proportional to 267.48, 398.34 and 261.14 is: 388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.48 : 398.34 = 261.14 : x
  2. Step 2: Convert to fraction form
    267.48/398.34 = 261.14/x
  3. Step 3: Cross multiply
    267.48x = 398.34 × 261.14
  4. Step 4: Simplify right side
    267.48x = 104,020.52
  5. Step 5: Solve for x
    x = 104,020.52/267.48
  6. Step 6: Final answer
    x = 388.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.