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Finding the Fourth Proportional to 190.30, 283.95 and 178.69

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Solution

The fourth proportional to 190.30, 283.95 and 178.69 is: 266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.30 : 283.95 = 178.69 : x
  2. Step 2: Convert to fraction form
    190.30/283.95 = 178.69/x
  3. Step 3: Cross multiply
    190.30x = 283.95 × 178.69
  4. Step 4: Simplify right side
    190.30x = 50,737.61
  5. Step 5: Solve for x
    x = 50,737.61/190.30
  6. Step 6: Final answer
    x = 266.63

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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.