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Finding the Fourth Proportional to 212.84, 293.68 and 119.55

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Solution

The fourth proportional to 212.84, 293.68 and 119.55 is: 164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.84 : 293.68 = 119.55 : x
  2. Step 2: Convert to fraction form
    212.84/293.68 = 119.55/x
  3. Step 3: Cross multiply
    212.84x = 293.68 × 119.55
  4. Step 4: Simplify right side
    212.84x = 35,109.44
  5. Step 5: Solve for x
    x = 35,109.44/212.84
  6. Step 6: Final answer
    x = 164.96

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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.