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Finding the Fourth Proportional to 190.52, 283.72 and 178.84

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Solution

The fourth proportional to 190.52, 283.72 and 178.84 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.52 : 283.72 = 178.84 : x
  2. Step 2: Convert to fraction form
    190.52/283.72 = 178.84/x
  3. Step 3: Cross multiply
    190.52x = 283.72 × 178.84
  4. Step 4: Simplify right side
    190.52x = 50,740.48
  5. Step 5: Solve for x
    x = 50,740.48/190.52
  6. Step 6: Final answer
    x = 266.33

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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.