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Finding the Fourth Proportional to 143.57, 214.94 and 109.46

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Solution

The fourth proportional to 143.57, 214.94 and 109.46 is: 163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.57 : 214.94 = 109.46 : x
  2. Step 2: Convert to fraction form
    143.57/214.94 = 109.46/x
  3. Step 3: Cross multiply
    143.57x = 214.94 × 109.46
  4. Step 4: Simplify right side
    143.57x = 23,526.79
  5. Step 5: Solve for x
    x = 23,526.79/143.57
  6. Step 6: Final answer
    x = 163.87

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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.