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Finding the Fourth Proportional to 190.38, 284.16 and 169.92

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Solution

The fourth proportional to 190.38, 284.16 and 169.92 is: 253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.38 : 284.16 = 169.92 : x
  2. Step 2: Convert to fraction form
    190.38/284.16 = 169.92/x
  3. Step 3: Cross multiply
    190.38x = 284.16 × 169.92
  4. Step 4: Simplify right side
    190.38x = 48,284.47
  5. Step 5: Solve for x
    x = 48,284.47/190.38
  6. Step 6: Final answer
    x = 253.62

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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.