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Finding the Fourth Proportional to 410.68, 616.92 and 248.46

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Solution

The fourth proportional to 410.68, 616.92 and 248.46 is: 373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.68 : 616.92 = 248.46 : x
  2. Step 2: Convert to fraction form
    410.68/616.92 = 248.46/x
  3. Step 3: Cross multiply
    410.68x = 616.92 × 248.46
  4. Step 4: Simplify right side
    410.68x = 153,279.94
  5. Step 5: Solve for x
    x = 153,279.94/410.68
  6. Step 6: Final answer
    x = 373.23

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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.