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Finding the Fourth Proportional to 319.77, 480.12 and 198.54

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Solution

The fourth proportional to 319.77, 480.12 and 198.54 is: 298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.77 : 480.12 = 198.54 : x
  2. Step 2: Convert to fraction form
    319.77/480.12 = 198.54/x
  3. Step 3: Cross multiply
    319.77x = 480.12 × 198.54
  4. Step 4: Simplify right side
    319.77x = 95,323.02
  5. Step 5: Solve for x
    x = 95,323.02/319.77
  6. Step 6: Final answer
    x = 298.10

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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.