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Finding the Fourth Proportional to 212.82, 319.34 and 161.45

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Solution

The fourth proportional to 212.82, 319.34 and 161.45 is: 242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.82 : 319.34 = 161.45 : x
  2. Step 2: Convert to fraction form
    212.82/319.34 = 161.45/x
  3. Step 3: Cross multiply
    212.82x = 319.34 × 161.45
  4. Step 4: Simplify right side
    212.82x = 51,556.25
  5. Step 5: Solve for x
    x = 51,556.25/212.82
  6. Step 6: Final answer
    x = 242.25

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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.