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Finding the Fourth Proportional to 229.40, 342.56 and 199.04

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Solution

The fourth proportional to 229.40, 342.56 and 199.04 is: 297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.40 : 342.56 = 199.04 : x
  2. Step 2: Convert to fraction form
    229.40/342.56 = 199.04/x
  3. Step 3: Cross multiply
    229.40x = 342.56 × 199.04
  4. Step 4: Simplify right side
    229.40x = 68,183.14
  5. Step 5: Solve for x
    x = 68,183.14/229.40
  6. Step 6: Final answer
    x = 297.22

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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.