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Finding the Fourth Proportional to 228.14, 341.39 and 191.69

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Solution

The fourth proportional to 228.14, 341.39 and 191.69 is: 286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.14 : 341.39 = 191.69 : x
  2. Step 2: Convert to fraction form
    228.14/341.39 = 191.69/x
  3. Step 3: Cross multiply
    228.14x = 341.39 × 191.69
  4. Step 4: Simplify right side
    228.14x = 65,441.05
  5. Step 5: Solve for x
    x = 65,441.05/228.14
  6. Step 6: Final answer
    x = 286.85

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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.