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Finding the Fourth Proportional to 410.91, 616.26 and 136.92

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Solution

The fourth proportional to 410.91, 616.26 and 136.92 is: 205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.91 : 616.26 = 136.92 : x
  2. Step 2: Convert to fraction form
    410.91/616.26 = 136.92/x
  3. Step 3: Cross multiply
    410.91x = 616.26 × 136.92
  4. Step 4: Simplify right side
    410.91x = 84,378.32
  5. Step 5: Solve for x
    x = 84,378.32/410.91
  6. Step 6: Final answer
    x = 205.35

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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.