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Finding the Fourth Proportional to 230.43, 319.36 and 226.11

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Solution

The fourth proportional to 230.43, 319.36 and 226.11 is: 313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.43 : 319.36 = 226.11 : x
  2. Step 2: Convert to fraction form
    230.43/319.36 = 226.11/x
  3. Step 3: Cross multiply
    230.43x = 319.36 × 226.11
  4. Step 4: Simplify right side
    230.43x = 72,210.49
  5. Step 5: Solve for x
    x = 72,210.49/230.43
  6. Step 6: Final answer
    x = 313.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.