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Finding the Fourth Proportional to 418.98, 578.42 and 320.92

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Solution

The fourth proportional to 418.98, 578.42 and 320.92 is: 443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.98 : 578.42 = 320.92 : x
  2. Step 2: Convert to fraction form
    418.98/578.42 = 320.92/x
  3. Step 3: Cross multiply
    418.98x = 578.42 × 320.92
  4. Step 4: Simplify right side
    418.98x = 185,626.55
  5. Step 5: Solve for x
    x = 185,626.55/418.98
  6. Step 6: Final answer
    x = 443.04

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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.