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Finding the Fourth Proportional to 230.50, 343.45 and 218.62

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Solution

The fourth proportional to 230.50, 343.45 and 218.62 is: 325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.50 : 343.45 = 218.62 : x
  2. Step 2: Convert to fraction form
    230.50/343.45 = 218.62/x
  3. Step 3: Cross multiply
    230.50x = 343.45 × 218.62
  4. Step 4: Simplify right side
    230.50x = 75,085.04
  5. Step 5: Solve for x
    x = 75,085.04/230.50
  6. Step 6: Final answer
    x = 325.75

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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.