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Finding the Fourth Proportional to 143.83, 214.25 and 143.56

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Solution

The fourth proportional to 143.83, 214.25 and 143.56 is: 213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.83 : 214.25 = 143.56 : x
  2. Step 2: Convert to fraction form
    143.83/214.25 = 143.56/x
  3. Step 3: Cross multiply
    143.83x = 214.25 × 143.56
  4. Step 4: Simplify right side
    143.83x = 30,757.73
  5. Step 5: Solve for x
    x = 30,757.73/143.83
  6. Step 6: Final answer
    x = 213.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.