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Finding the Fourth Proportional to 190.37, 284.69 and 141.30

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Solution

The fourth proportional to 190.37, 284.69 and 141.30 is: 211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.37 : 284.69 = 141.30 : x
  2. Step 2: Convert to fraction form
    190.37/284.69 = 141.30/x
  3. Step 3: Cross multiply
    190.37x = 284.69 × 141.30
  4. Step 4: Simplify right side
    190.37x = 40,226.70
  5. Step 5: Solve for x
    x = 40,226.70/190.37
  6. Step 6: Final answer
    x = 211.31

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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.