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Finding the Fourth Proportional to 215.73, 298.26 and 191.11

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Solution

The fourth proportional to 215.73, 298.26 and 191.11 is: 264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.73 : 298.26 = 191.11 : x
  2. Step 2: Convert to fraction form
    215.73/298.26 = 191.11/x
  3. Step 3: Cross multiply
    215.73x = 298.26 × 191.11
  4. Step 4: Simplify right side
    215.73x = 57,000.47
  5. Step 5: Solve for x
    x = 57,000.47/215.73
  6. Step 6: Final answer
    x = 264.22

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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.