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Finding the Fourth Proportional to 212.40, 292.99 and 138.59

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Solution

The fourth proportional to 212.40, 292.99 and 138.59 is: 191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.40 : 292.99 = 138.59 : x
  2. Step 2: Convert to fraction form
    212.40/292.99 = 138.59/x
  3. Step 3: Cross multiply
    212.40x = 292.99 × 138.59
  4. Step 4: Simplify right side
    212.40x = 40,604.60
  5. Step 5: Solve for x
    x = 40,604.60/212.40
  6. Step 6: Final answer
    x = 191.17

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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.