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Finding the Fourth Proportional to 198.42, 272.30 and 177.80

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Solution

The fourth proportional to 198.42, 272.30 and 177.80 is: 244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.42 : 272.30 = 177.80 : x
  2. Step 2: Convert to fraction form
    198.42/272.30 = 177.80/x
  3. Step 3: Cross multiply
    198.42x = 272.30 × 177.80
  4. Step 4: Simplify right side
    198.42x = 48,412.69
  5. Step 5: Solve for x
    x = 48,412.69/198.42
  6. Step 6: Final answer
    x = 244.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.