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Finding the Fourth Proportional to 190.59, 284.60 and 149.55

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Solution

The fourth proportional to 190.59, 284.60 and 149.55 is: 223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.59 : 284.60 = 149.55 : x
  2. Step 2: Convert to fraction form
    190.59/284.60 = 149.55/x
  3. Step 3: Cross multiply
    190.59x = 284.60 × 149.55
  4. Step 4: Simplify right side
    190.59x = 42,561.18
  5. Step 5: Solve for x
    x = 42,561.18/190.59
  6. Step 6: Final answer
    x = 223.31

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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.