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Finding the Fourth Proportional to 267.24, 398.74 and 261.08

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Solution

The fourth proportional to 267.24, 398.74 and 261.08 is: 389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.24 : 398.74 = 261.08 : x
  2. Step 2: Convert to fraction form
    267.24/398.74 = 261.08/x
  3. Step 3: Cross multiply
    267.24x = 398.74 × 261.08
  4. Step 4: Simplify right side
    267.24x = 104,103.04
  5. Step 5: Solve for x
    x = 104,103.04/267.24
  6. Step 6: Final answer
    x = 389.55

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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.