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Finding the Fourth Proportional to 151.23, 226.86 and 82.80

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Solution

The fourth proportional to 151.23, 226.86 and 82.80 is: 124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.23 : 226.86 = 82.80 : x
  2. Step 2: Convert to fraction form
    151.23/226.86 = 82.80/x
  3. Step 3: Cross multiply
    151.23x = 226.86 × 82.80
  4. Step 4: Simplify right side
    151.23x = 18,784.01
  5. Step 5: Solve for x
    x = 18,784.01/151.23
  6. Step 6: Final answer
    x = 124.21

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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.