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Finding the Fourth Proportional to 232.62, 348.62 and 189.40

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Solution

The fourth proportional to 232.62, 348.62 and 189.40 is: 283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.62 : 348.62 = 189.40 : x
  2. Step 2: Convert to fraction form
    232.62/348.62 = 189.40/x
  3. Step 3: Cross multiply
    232.62x = 348.62 × 189.40
  4. Step 4: Simplify right side
    232.62x = 66,028.63
  5. Step 5: Solve for x
    x = 66,028.63/232.62
  6. Step 6: Final answer
    x = 283.85

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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.