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Finding the Fourth Proportional to 190.89, 284.90 and 178.59

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Solution

The fourth proportional to 190.89, 284.90 and 178.59 is: 266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.89 : 284.90 = 178.59 : x
  2. Step 2: Convert to fraction form
    190.89/284.90 = 178.59/x
  3. Step 3: Cross multiply
    190.89x = 284.90 × 178.59
  4. Step 4: Simplify right side
    190.89x = 50,880.29
  5. Step 5: Solve for x
    x = 50,880.29/190.89
  6. Step 6: Final answer
    x = 266.54

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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.