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Finding the Fourth Proportional to 143.50, 199.09 and 142.15

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Solution

The fourth proportional to 143.50, 199.09 and 142.15 is: 197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.50 : 199.09 = 142.15 : x
  2. Step 2: Convert to fraction form
    143.50/199.09 = 142.15/x
  3. Step 3: Cross multiply
    143.50x = 199.09 × 142.15
  4. Step 4: Simplify right side
    143.50x = 28,300.64
  5. Step 5: Solve for x
    x = 28,300.64/143.50
  6. Step 6: Final answer
    x = 197.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.