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Finding the Fourth Proportional to 412.57, 618.12 and 249.92

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Solution

The fourth proportional to 412.57, 618.12 and 249.92 is: 374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.57 : 618.12 = 249.92 : x
  2. Step 2: Convert to fraction form
    412.57/618.12 = 249.92/x
  3. Step 3: Cross multiply
    412.57x = 618.12 × 249.92
  4. Step 4: Simplify right side
    412.57x = 154,482.10
  5. Step 5: Solve for x
    x = 154,482.10/412.57
  6. Step 6: Final answer
    x = 374.44

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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.