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Finding the Fourth Proportional to 213.36, 319.84 and 141.56

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Solution

The fourth proportional to 213.36, 319.84 and 141.56 is: 212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.36 : 319.84 = 141.56 : x
  2. Step 2: Convert to fraction form
    213.36/319.84 = 141.56/x
  3. Step 3: Cross multiply
    213.36x = 319.84 × 141.56
  4. Step 4: Simplify right side
    213.36x = 45,276.55
  5. Step 5: Solve for x
    x = 45,276.55/213.36
  6. Step 6: Final answer
    x = 212.21

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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.