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Finding the Fourth Proportional to 190.35, 286.92 and 177.12

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Solution

The fourth proportional to 190.35, 286.92 and 177.12 is: 266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.35 : 286.92 = 177.12 : x
  2. Step 2: Convert to fraction form
    190.35/286.92 = 177.12/x
  3. Step 3: Cross multiply
    190.35x = 286.92 × 177.12
  4. Step 4: Simplify right side
    190.35x = 50,819.27
  5. Step 5: Solve for x
    x = 50,819.27/190.35
  6. Step 6: Final answer
    x = 266.98

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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.