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Finding the Fourth Proportional to 228.09, 342.17 and 83.80

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Solution

The fourth proportional to 228.09, 342.17 and 83.80 is: 125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.09 : 342.17 = 83.80 : x
  2. Step 2: Convert to fraction form
    228.09/342.17 = 83.80/x
  3. Step 3: Cross multiply
    228.09x = 342.17 × 83.80
  4. Step 4: Simplify right side
    228.09x = 28,672.67
  5. Step 5: Solve for x
    x = 28,672.67/228.09
  6. Step 6: Final answer
    x = 125.71

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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.