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Finding the Fourth Proportional to 143.62, 199.30 and 138.50

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Solution

The fourth proportional to 143.62, 199.30 and 138.50 is: 192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.62 : 199.30 = 138.50 : x
  2. Step 2: Convert to fraction form
    143.62/199.30 = 138.50/x
  3. Step 3: Cross multiply
    143.62x = 199.30 × 138.50
  4. Step 4: Simplify right side
    143.62x = 27,603.05
  5. Step 5: Solve for x
    x = 27,603.05/143.62
  6. Step 6: Final answer
    x = 192.20

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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.