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Finding the Fourth Proportional to 190.02, 285.12 and 81.84

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Solution

The fourth proportional to 190.02, 285.12 and 81.84 is: 122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.02 : 285.12 = 81.84 : x
  2. Step 2: Convert to fraction form
    190.02/285.12 = 81.84/x
  3. Step 3: Cross multiply
    190.02x = 285.12 × 81.84
  4. Step 4: Simplify right side
    190.02x = 23,334.22
  5. Step 5: Solve for x
    x = 23,334.22/190.02
  6. Step 6: Final answer
    x = 122.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.