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Finding the Fourth Proportional to 267.32, 398.67 and 261.11

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Solution

The fourth proportional to 267.32, 398.67 and 261.11 is: 389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.32 : 398.67 = 261.11 : x
  2. Step 2: Convert to fraction form
    267.32/398.67 = 261.11/x
  3. Step 3: Cross multiply
    267.32x = 398.67 × 261.11
  4. Step 4: Simplify right side
    267.32x = 104,093.42
  5. Step 5: Solve for x
    x = 104,093.42/267.32
  6. Step 6: Final answer
    x = 389.40

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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.