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Finding the Fourth Proportional to 190.20, 283.92 and 171.84

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Solution

The fourth proportional to 190.20, 283.92 and 171.84 is: 256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.20 : 283.92 = 171.84 : x
  2. Step 2: Convert to fraction form
    190.20/283.92 = 171.84/x
  3. Step 3: Cross multiply
    190.20x = 283.92 × 171.84
  4. Step 4: Simplify right side
    190.20x = 48,788.81
  5. Step 5: Solve for x
    x = 48,788.81/190.20
  6. Step 6: Final answer
    x = 256.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.