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Finding the Fourth Proportional to 239.82, 331.35 and 212.22

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Solution

The fourth proportional to 239.82, 331.35 and 212.22 is: 293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.82 : 331.35 = 212.22 : x
  2. Step 2: Convert to fraction form
    239.82/331.35 = 212.22/x
  3. Step 3: Cross multiply
    239.82x = 331.35 × 212.22
  4. Step 4: Simplify right side
    239.82x = 70,319.10
  5. Step 5: Solve for x
    x = 70,319.10/239.82
  6. Step 6: Final answer
    x = 293.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.