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Finding the Fourth Proportional to 212.11, 292.79 and 138.46

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Solution

The fourth proportional to 212.11, 292.79 and 138.46 is: 191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.11 : 292.79 = 138.46 : x
  2. Step 2: Convert to fraction form
    212.11/292.79 = 138.46/x
  3. Step 3: Cross multiply
    212.11x = 292.79 × 138.46
  4. Step 4: Simplify right side
    212.11x = 40,539.70
  5. Step 5: Solve for x
    x = 40,539.70/212.11
  6. Step 6: Final answer
    x = 191.13

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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.