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Finding the Fourth Proportional to 190.47, 285.10 and 149.97

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Solution

The fourth proportional to 190.47, 285.10 and 149.97 is: 224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.47 : 285.10 = 149.97 : x
  2. Step 2: Convert to fraction form
    190.47/285.10 = 149.97/x
  3. Step 3: Cross multiply
    190.47x = 285.10 × 149.97
  4. Step 4: Simplify right side
    190.47x = 42,757.98
  5. Step 5: Solve for x
    x = 42,757.98/190.47
  6. Step 6: Final answer
    x = 224.48

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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.