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Finding the Fourth Proportional to 212.06, 292.36 and 142.13

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Solution

The fourth proportional to 212.06, 292.36 and 142.13 is: 195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.06 : 292.36 = 142.13 : x
  2. Step 2: Convert to fraction form
    212.06/292.36 = 142.13/x
  3. Step 3: Cross multiply
    212.06x = 292.36 × 142.13
  4. Step 4: Simplify right side
    212.06x = 41,553.13
  5. Step 5: Solve for x
    x = 41,553.13/212.06
  6. Step 6: Final answer
    x = 195.95

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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.