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Finding the Fourth Proportional to 143.83, 199.50 and 138.64

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Solution

The fourth proportional to 143.83, 199.50 and 138.64 is: 192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.83 : 199.50 = 138.64 : x
  2. Step 2: Convert to fraction form
    143.83/199.50 = 138.64/x
  3. Step 3: Cross multiply
    143.83x = 199.50 × 138.64
  4. Step 4: Simplify right side
    143.83x = 27,659.67
  5. Step 5: Solve for x
    x = 27,659.67/143.83
  6. Step 6: Final answer
    x = 192.31

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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.