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Finding the Fourth Proportional to 231.96, 346.52 and 186.42

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Solution

The fourth proportional to 231.96, 346.52 and 186.42 is: 278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.96 : 346.52 = 186.42 : x
  2. Step 2: Convert to fraction form
    231.96/346.52 = 186.42/x
  3. Step 3: Cross multiply
    231.96x = 346.52 × 186.42
  4. Step 4: Simplify right side
    231.96x = 64,597.33
  5. Step 5: Solve for x
    x = 64,597.33/231.96
  6. Step 6: Final answer
    x = 278.48

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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.