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Finding the Fourth Proportional to 230.48, 315.82 and 230.12

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Solution

The fourth proportional to 230.48, 315.82 and 230.12 is: 315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.48 : 315.82 = 230.12 : x
  2. Step 2: Convert to fraction form
    230.48/315.82 = 230.12/x
  3. Step 3: Cross multiply
    230.48x = 315.82 × 230.12
  4. Step 4: Simplify right side
    230.48x = 72,676.50
  5. Step 5: Solve for x
    x = 72,676.50/230.48
  6. Step 6: Final answer
    x = 315.33

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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.