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Finding the Fourth Proportional to 411.88, 617.50 and 249.53

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Solution

The fourth proportional to 411.88, 617.50 and 249.53 is: 374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.88 : 617.50 = 249.53 : x
  2. Step 2: Convert to fraction form
    411.88/617.50 = 249.53/x
  3. Step 3: Cross multiply
    411.88x = 617.50 × 249.53
  4. Step 4: Simplify right side
    411.88x = 154,081.06
  5. Step 5: Solve for x
    x = 154,081.06/411.88
  6. Step 6: Final answer
    x = 374.09

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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.