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Finding the Fourth Proportional to 190.28, 283.88 and 178.58

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Solution

The fourth proportional to 190.28, 283.88 and 178.58 is: 266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.28 : 283.88 = 178.58 : x
  2. Step 2: Convert to fraction form
    190.28/283.88 = 178.58/x
  3. Step 3: Cross multiply
    190.28x = 283.88 × 178.58
  4. Step 4: Simplify right side
    190.28x = 50,695.29
  5. Step 5: Solve for x
    x = 50,695.29/190.28
  6. Step 6: Final answer
    x = 266.42

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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.