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Finding the Fourth Proportional to 232.63, 348.37 and 228.85

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Solution

The fourth proportional to 232.63, 348.37 and 228.85 is: 342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.63 : 348.37 = 228.85 : x
  2. Step 2: Convert to fraction form
    232.63/348.37 = 228.85/x
  3. Step 3: Cross multiply
    232.63x = 348.37 × 228.85
  4. Step 4: Simplify right side
    232.63x = 79,724.47
  5. Step 5: Solve for x
    x = 79,724.47/232.63
  6. Step 6: Final answer
    x = 342.71

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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.