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Finding the Fourth Proportional to 190.92, 284.46 and 178.50

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Solution

The fourth proportional to 190.92, 284.46 and 178.50 is: 265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.92 : 284.46 = 178.50 : x
  2. Step 2: Convert to fraction form
    190.92/284.46 = 178.50/x
  3. Step 3: Cross multiply
    190.92x = 284.46 × 178.50
  4. Step 4: Simplify right side
    190.92x = 50,776.11
  5. Step 5: Solve for x
    x = 50,776.11/190.92
  6. Step 6: Final answer
    x = 265.95

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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.