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Finding the Fourth Proportional to 418.20, 625.84 and 319.20

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Solution

The fourth proportional to 418.20, 625.84 and 319.20 is: 477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.20 : 625.84 = 319.20 : x
  2. Step 2: Convert to fraction form
    418.20/625.84 = 319.20/x
  3. Step 3: Cross multiply
    418.20x = 625.84 × 319.20
  4. Step 4: Simplify right side
    418.20x = 199,768.13
  5. Step 5: Solve for x
    x = 199,768.13/418.20
  6. Step 6: Final answer
    x = 477.69

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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.