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Finding the Fourth Proportional to 230.21, 346.67 and 169.76

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Solution

The fourth proportional to 230.21, 346.67 and 169.76 is: 255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.21 : 346.67 = 169.76 : x
  2. Step 2: Convert to fraction form
    230.21/346.67 = 169.76/x
  3. Step 3: Cross multiply
    230.21x = 346.67 × 169.76
  4. Step 4: Simplify right side
    230.21x = 58,850.70
  5. Step 5: Solve for x
    x = 58,850.70/230.21
  6. Step 6: Final answer
    x = 255.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.