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Finding the Fourth Proportional to 411.67, 618.59 and 249.49

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Solution

The fourth proportional to 411.67, 618.59 and 249.49 is: 374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.67 : 618.59 = 249.49 : x
  2. Step 2: Convert to fraction form
    411.67/618.59 = 249.49/x
  3. Step 3: Cross multiply
    411.67x = 618.59 × 249.49
  4. Step 4: Simplify right side
    411.67x = 154,332.02
  5. Step 5: Solve for x
    x = 154,332.02/411.67
  6. Step 6: Final answer
    x = 374.89

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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.