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Finding the Fourth Proportional to 143.32, 213.59 and 142.12

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Solution

The fourth proportional to 143.32, 213.59 and 142.12 is: 211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.32 : 213.59 = 142.12 : x
  2. Step 2: Convert to fraction form
    143.32/213.59 = 142.12/x
  3. Step 3: Cross multiply
    143.32x = 213.59 × 142.12
  4. Step 4: Simplify right side
    143.32x = 30,355.41
  5. Step 5: Solve for x
    x = 30,355.41/143.32
  6. Step 6: Final answer
    x = 211.80

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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.