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Finding the Fourth Proportional to 143.12, 214.50 and 108.78

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Solution

The fourth proportional to 143.12, 214.50 and 108.78 is: 163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.12 : 214.50 = 108.78 : x
  2. Step 2: Convert to fraction form
    143.12/214.50 = 108.78/x
  3. Step 3: Cross multiply
    143.12x = 214.50 × 108.78
  4. Step 4: Simplify right side
    143.12x = 23,333.31
  5. Step 5: Solve for x
    x = 23,333.31/143.12
  6. Step 6: Final answer
    x = 163.03

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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.