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Finding the Fourth Proportional to 143.73, 214.38 and 141.66

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Solution

The fourth proportional to 143.73, 214.38 and 141.66 is: 211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.73 : 214.38 = 141.66 : x
  2. Step 2: Convert to fraction form
    143.73/214.38 = 141.66/x
  3. Step 3: Cross multiply
    143.73x = 214.38 × 141.66
  4. Step 4: Simplify right side
    143.73x = 30,369.07
  5. Step 5: Solve for x
    x = 30,369.07/143.73
  6. Step 6: Final answer
    x = 211.29

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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.