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Finding the Fourth Proportional to 410.74, 616.34 and 179.78

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Solution

The fourth proportional to 410.74, 616.34 and 179.78 is: 269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.74 : 616.34 = 179.78 : x
  2. Step 2: Convert to fraction form
    410.74/616.34 = 179.78/x
  3. Step 3: Cross multiply
    410.74x = 616.34 × 179.78
  4. Step 4: Simplify right side
    410.74x = 110,802.97
  5. Step 5: Solve for x
    x = 110,802.97/410.74
  6. Step 6: Final answer
    x = 269.77

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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.