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Finding the Fourth Proportional to 229.72, 342.53 and 220.12

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Solution

The fourth proportional to 229.72, 342.53 and 220.12 is: 328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.72 : 342.53 = 220.12 : x
  2. Step 2: Convert to fraction form
    229.72/342.53 = 220.12/x
  3. Step 3: Cross multiply
    229.72x = 342.53 × 220.12
  4. Step 4: Simplify right side
    229.72x = 75,397.70
  5. Step 5: Solve for x
    x = 75,397.70/229.72
  6. Step 6: Final answer
    x = 328.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.