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Finding the Fourth Proportional to 230.13, 343.82 and 171.30

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Solution

The fourth proportional to 230.13, 343.82 and 171.30 is: 255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.13 : 343.82 = 171.30 : x
  2. Step 2: Convert to fraction form
    230.13/343.82 = 171.30/x
  3. Step 3: Cross multiply
    230.13x = 343.82 × 171.30
  4. Step 4: Simplify right side
    230.13x = 58,895.51
  5. Step 5: Solve for x
    x = 58,895.51/230.13
  6. Step 6: Final answer
    x = 255.92

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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.