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Finding the Fourth Proportional to 230.22, 343.77 and 217.42

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Solution

The fourth proportional to 230.22, 343.77 and 217.42 is: 324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.22 : 343.77 = 217.42 : x
  2. Step 2: Convert to fraction form
    230.22/343.77 = 217.42/x
  3. Step 3: Cross multiply
    230.22x = 343.77 × 217.42
  4. Step 4: Simplify right side
    230.22x = 74,742.47
  5. Step 5: Solve for x
    x = 74,742.47/230.22
  6. Step 6: Final answer
    x = 324.66

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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.