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Finding the Fourth Proportional to 143.80, 214.72 and 135.56

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Solution

The fourth proportional to 143.80, 214.72 and 135.56 is: 202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.80 : 214.72 = 135.56 : x
  2. Step 2: Convert to fraction form
    143.80/214.72 = 135.56/x
  3. Step 3: Cross multiply
    143.80x = 214.72 × 135.56
  4. Step 4: Simplify right side
    143.80x = 29,107.44
  5. Step 5: Solve for x
    x = 29,107.44/143.80
  6. Step 6: Final answer
    x = 202.42

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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.