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Finding the Fourth Proportional to 143.87, 215.00 and 105.43

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Solution

The fourth proportional to 143.87, 215.00 and 105.43 is: 157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.87 : 215.00 = 105.43 : x
  2. Step 2: Convert to fraction form
    143.87/215.00 = 105.43/x
  3. Step 3: Cross multiply
    143.87x = 215.00 × 105.43
  4. Step 4: Simplify right side
    143.87x = 22,667.18
  5. Step 5: Solve for x
    x = 22,667.18/143.87
  6. Step 6: Final answer
    x = 157.56

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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.