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Finding the Fourth Proportional to 190.92, 287.50 and 137.19

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Solution

The fourth proportional to 190.92, 287.50 and 137.19 is: 206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.92 : 287.50 = 137.19 : x
  2. Step 2: Convert to fraction form
    190.92/287.50 = 137.19/x
  3. Step 3: Cross multiply
    190.92x = 287.50 × 137.19
  4. Step 4: Simplify right side
    190.92x = 39,442.30
  5. Step 5: Solve for x
    x = 39,442.30/190.92
  6. Step 6: Final answer
    x = 206.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.