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Finding the Fourth Proportional to 191.49, 286.89 and 137.28

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Solution

The fourth proportional to 191.49, 286.89 and 137.28 is: 205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.49 : 286.89 = 137.28 : x
  2. Step 2: Convert to fraction form
    191.49/286.89 = 137.28/x
  3. Step 3: Cross multiply
    191.49x = 286.89 × 137.28
  4. Step 4: Simplify right side
    191.49x = 39,384.26
  5. Step 5: Solve for x
    x = 39,384.26/191.49
  6. Step 6: Final answer
    x = 205.67

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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.