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Finding the Fourth Proportional to 190.52, 286.92 and 166.76

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Solution

The fourth proportional to 190.52, 286.92 and 166.76 is: 251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.52 : 286.92 = 166.76 : x
  2. Step 2: Convert to fraction form
    190.52/286.92 = 166.76/x
  3. Step 3: Cross multiply
    190.52x = 286.92 × 166.76
  4. Step 4: Simplify right side
    190.52x = 47,846.78
  5. Step 5: Solve for x
    x = 47,846.78/190.52
  6. Step 6: Final answer
    x = 251.14

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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.