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Finding the Fourth Proportional to 411.28, 616.44 and 249.04

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Solution

The fourth proportional to 411.28, 616.44 and 249.04 is: 373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.28 : 616.44 = 249.04 : x
  2. Step 2: Convert to fraction form
    411.28/616.44 = 249.04/x
  3. Step 3: Cross multiply
    411.28x = 616.44 × 249.04
  4. Step 4: Simplify right side
    411.28x = 153,518.22
  5. Step 5: Solve for x
    x = 153,518.22/411.28
  6. Step 6: Final answer
    x = 373.27

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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.