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Finding the Fourth Proportional to 410.78, 616.30 and 136.91

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Solution

The fourth proportional to 410.78, 616.30 and 136.91 is: 205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.78 : 616.30 = 136.91 : x
  2. Step 2: Convert to fraction form
    410.78/616.30 = 136.91/x
  3. Step 3: Cross multiply
    410.78x = 616.30 × 136.91
  4. Step 4: Simplify right side
    410.78x = 84,374.21
  5. Step 5: Solve for x
    x = 84,374.21/410.78
  6. Step 6: Final answer
    x = 205.40

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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.