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Finding the Fourth Proportional to 213.59, 320.03 and 191.80

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Solution

The fourth proportional to 213.59, 320.03 and 191.80 is: 287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.59 : 320.03 = 191.80 : x
  2. Step 2: Convert to fraction form
    213.59/320.03 = 191.80/x
  3. Step 3: Cross multiply
    213.59x = 320.03 × 191.80
  4. Step 4: Simplify right side
    213.59x = 61,382.99
  5. Step 5: Solve for x
    x = 61,382.99/213.59
  6. Step 6: Final answer
    x = 287.38

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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.