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Finding the Fourth Proportional to 266.13, 400.75 and 198.14

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Solution

The fourth proportional to 266.13, 400.75 and 198.14 is: 298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.13 : 400.75 = 198.14 : x
  2. Step 2: Convert to fraction form
    266.13/400.75 = 198.14/x
  3. Step 3: Cross multiply
    266.13x = 400.75 × 198.14
  4. Step 4: Simplify right side
    266.13x = 79,404.61
  5. Step 5: Solve for x
    x = 79,404.61/266.13
  6. Step 6: Final answer
    x = 298.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.