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Finding the Fourth Proportional to 330.80, 456.59 and 199.79

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Solution

The fourth proportional to 330.80, 456.59 and 199.79 is: 275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.80 : 456.59 = 199.79 : x
  2. Step 2: Convert to fraction form
    330.80/456.59 = 199.79/x
  3. Step 3: Cross multiply
    330.80x = 456.59 × 199.79
  4. Step 4: Simplify right side
    330.80x = 91,218.83
  5. Step 5: Solve for x
    x = 91,218.83/330.80
  6. Step 6: Final answer
    x = 275.75

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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.