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Finding the Fourth Proportional to 266.00, 398.23 and 197.83

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Solution

The fourth proportional to 266.00, 398.23 and 197.83 is: 296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.00 : 398.23 = 197.83 : x
  2. Step 2: Convert to fraction form
    266.00/398.23 = 197.83/x
  3. Step 3: Cross multiply
    266.00x = 398.23 × 197.83
  4. Step 4: Simplify right side
    266.00x = 78,780.35
  5. Step 5: Solve for x
    x = 78,780.35/266.00
  6. Step 6: Final answer
    x = 296.16

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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.