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Finding the Fourth Proportional to 212.87, 319.61 and 131.47

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Solution

The fourth proportional to 212.87, 319.61 and 131.47 is: 197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.87 : 319.61 = 131.47 : x
  2. Step 2: Convert to fraction form
    212.87/319.61 = 131.47/x
  3. Step 3: Cross multiply
    212.87x = 319.61 × 131.47
  4. Step 4: Simplify right side
    212.87x = 42,018.66
  5. Step 5: Solve for x
    x = 42,018.66/212.87
  6. Step 6: Final answer
    x = 197.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.