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Finding the Fourth Proportional to 410.79, 616.20 and 267.42

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Solution

The fourth proportional to 410.79, 616.20 and 267.42 is: 401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.79 : 616.20 = 267.42 : x
  2. Step 2: Convert to fraction form
    410.79/616.20 = 267.42/x
  3. Step 3: Cross multiply
    410.79x = 616.20 × 267.42
  4. Step 4: Simplify right side
    410.79x = 164,784.20
  5. Step 5: Solve for x
    x = 164,784.20/410.79
  6. Step 6: Final answer
    x = 401.14

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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.