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Finding the Fourth Proportional to 266.80, 399.48 and 198.16

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Solution

The fourth proportional to 266.80, 399.48 and 198.16 is: 296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.80 : 399.48 = 198.16 : x
  2. Step 2: Convert to fraction form
    266.80/399.48 = 198.16/x
  3. Step 3: Cross multiply
    266.80x = 399.48 × 198.16
  4. Step 4: Simplify right side
    266.80x = 79,160.96
  5. Step 5: Solve for x
    x = 79,160.96/266.80
  6. Step 6: Final answer
    x = 296.71

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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.