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Finding the Fourth Proportional to 228.96, 343.49 and 111.92

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Solution

The fourth proportional to 228.96, 343.49 and 111.92 is: 167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.96 : 343.49 = 111.92 : x
  2. Step 2: Convert to fraction form
    228.96/343.49 = 111.92/x
  3. Step 3: Cross multiply
    228.96x = 343.49 × 111.92
  4. Step 4: Simplify right side
    228.96x = 38,441.12
  5. Step 5: Solve for x
    x = 38,441.12/228.96
  6. Step 6: Final answer
    x = 167.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.