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Finding the Fourth Proportional to 213.29, 319.63 and 159.15

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Solution

The fourth proportional to 213.29, 319.63 and 159.15 is: 238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.29 : 319.63 = 159.15 : x
  2. Step 2: Convert to fraction form
    213.29/319.63 = 159.15/x
  3. Step 3: Cross multiply
    213.29x = 319.63 × 159.15
  4. Step 4: Simplify right side
    213.29x = 50,869.11
  5. Step 5: Solve for x
    x = 50,869.11/213.29
  6. Step 6: Final answer
    x = 238.50

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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.