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Finding the Fourth Proportional to 320.95, 480.90 and 198.88

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Solution

The fourth proportional to 320.95, 480.90 and 198.88 is: 297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.95 : 480.90 = 198.88 : x
  2. Step 2: Convert to fraction form
    320.95/480.90 = 198.88/x
  3. Step 3: Cross multiply
    320.95x = 480.90 × 198.88
  4. Step 4: Simplify right side
    320.95x = 95,641.39
  5. Step 5: Solve for x
    x = 95,641.39/320.95
  6. Step 6: Final answer
    x = 297.99

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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.