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Finding the Fourth Proportional to 418.88, 578.12 and 250.92

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Solution

The fourth proportional to 418.88, 578.12 and 250.92 is: 346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.88 : 578.12 = 250.92 : x
  2. Step 2: Convert to fraction form
    418.88/578.12 = 250.92/x
  3. Step 3: Cross multiply
    418.88x = 578.12 × 250.92
  4. Step 4: Simplify right side
    418.88x = 145,061.87
  5. Step 5: Solve for x
    x = 145,061.87/418.88
  6. Step 6: Final answer
    x = 346.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.