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Finding the Fourth Proportional to 230.16, 315.56 and 226.06

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Solution

The fourth proportional to 230.16, 315.56 and 226.06 is: 309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.16 : 315.56 = 226.06 : x
  2. Step 2: Convert to fraction form
    230.16/315.56 = 226.06/x
  3. Step 3: Cross multiply
    230.16x = 315.56 × 226.06
  4. Step 4: Simplify right side
    230.16x = 71,335.49
  5. Step 5: Solve for x
    x = 71,335.49/230.16
  6. Step 6: Final answer
    x = 309.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.