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Finding the Fourth Proportional to 227.53, 341.03 and 83.13

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Solution

The fourth proportional to 227.53, 341.03 and 83.13 is: 124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.53 : 341.03 = 83.13 : x
  2. Step 2: Convert to fraction form
    227.53/341.03 = 83.13/x
  3. Step 3: Cross multiply
    227.53x = 341.03 × 83.13
  4. Step 4: Simplify right side
    227.53x = 28,347.70
  5. Step 5: Solve for x
    x = 28,347.70/227.53
  6. Step 6: Final answer
    x = 124.59

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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.