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Finding the Fourth Proportional to 212.44, 293.15 and 119.19

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Solution

The fourth proportional to 212.44, 293.15 and 119.19 is: 164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.44 : 293.15 = 119.19 : x
  2. Step 2: Convert to fraction form
    212.44/293.15 = 119.19/x
  3. Step 3: Cross multiply
    212.44x = 293.15 × 119.19
  4. Step 4: Simplify right side
    212.44x = 34,939.95
  5. Step 5: Solve for x
    x = 34,939.95/212.44
  6. Step 6: Final answer
    x = 164.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.