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Finding the Fourth Proportional to 230.02, 344.49 and 108.02

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Solution

The fourth proportional to 230.02, 344.49 and 108.02 is: 161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.02 : 344.49 = 108.02 : x
  2. Step 2: Convert to fraction form
    230.02/344.49 = 108.02/x
  3. Step 3: Cross multiply
    230.02x = 344.49 × 108.02
  4. Step 4: Simplify right side
    230.02x = 37,211.81
  5. Step 5: Solve for x
    x = 37,211.81/230.02
  6. Step 6: Final answer
    x = 161.78

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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.