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Finding the Fourth Proportional to 235.14, 353.25 and 189.78

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Solution

The fourth proportional to 235.14, 353.25 and 189.78 is: 285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.14 : 353.25 = 189.78 : x
  2. Step 2: Convert to fraction form
    235.14/353.25 = 189.78/x
  3. Step 3: Cross multiply
    235.14x = 353.25 × 189.78
  4. Step 4: Simplify right side
    235.14x = 67,039.79
  5. Step 5: Solve for x
    x = 67,039.79/235.14
  6. Step 6: Final answer
    x = 285.11

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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.