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Finding the Fourth Proportional to 231.96, 346.47 and 230.28

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Solution

The fourth proportional to 231.96, 346.47 and 230.28 is: 343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.96 : 346.47 = 230.28 : x
  2. Step 2: Convert to fraction form
    231.96/346.47 = 230.28/x
  3. Step 3: Cross multiply
    231.96x = 346.47 × 230.28
  4. Step 4: Simplify right side
    231.96x = 79,785.11
  5. Step 5: Solve for x
    x = 79,785.11/231.96
  6. Step 6: Final answer
    x = 343.96

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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.