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Finding the Fourth Proportional to 213.02, 319.15 and 190.47

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Solution

The fourth proportional to 213.02, 319.15 and 190.47 is: 285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.02 : 319.15 = 190.47 : x
  2. Step 2: Convert to fraction form
    213.02/319.15 = 190.47/x
  3. Step 3: Cross multiply
    213.02x = 319.15 × 190.47
  4. Step 4: Simplify right side
    213.02x = 60,788.50
  5. Step 5: Solve for x
    x = 60,788.50/213.02
  6. Step 6: Final answer
    x = 285.37

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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.