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Finding the Fourth Proportional to 212.82, 319.07 and 144.15

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Solution

The fourth proportional to 212.82, 319.07 and 144.15 is: 216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.82 : 319.07 = 144.15 : x
  2. Step 2: Convert to fraction form
    212.82/319.07 = 144.15/x
  3. Step 3: Cross multiply
    212.82x = 319.07 × 144.15
  4. Step 4: Simplify right side
    212.82x = 45,993.22
  5. Step 5: Solve for x
    x = 45,993.22/212.82
  6. Step 6: Final answer
    x = 216.11

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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.