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Finding the Fourth Proportional to 213.59, 319.84 and 159.59

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Solution

The fourth proportional to 213.59, 319.84 and 159.59 is: 238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.59 : 319.84 = 159.59 : x
  2. Step 2: Convert to fraction form
    213.59/319.84 = 159.59/x
  3. Step 3: Cross multiply
    213.59x = 319.84 × 159.59
  4. Step 4: Simplify right side
    213.59x = 51,041.27
  5. Step 5: Solve for x
    x = 51,041.27/213.59
  6. Step 6: Final answer
    x = 238.97

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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.