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Finding the Fourth Proportional to 229.95, 341.37 and 220.23

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Solution

The fourth proportional to 229.95, 341.37 and 220.23 is: 326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.95 : 341.37 = 220.23 : x
  2. Step 2: Convert to fraction form
    229.95/341.37 = 220.23/x
  3. Step 3: Cross multiply
    229.95x = 341.37 × 220.23
  4. Step 4: Simplify right side
    229.95x = 75,179.92
  5. Step 5: Solve for x
    x = 75,179.92/229.95
  6. Step 6: Final answer
    x = 326.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.