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Finding the Fourth Proportional to 212.13, 292.44 and 142.07

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Solution

The fourth proportional to 212.13, 292.44 and 142.07 is: 195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.13 : 292.44 = 142.07 : x
  2. Step 2: Convert to fraction form
    212.13/292.44 = 142.07/x
  3. Step 3: Cross multiply
    212.13x = 292.44 × 142.07
  4. Step 4: Simplify right side
    212.13x = 41,546.02
  5. Step 5: Solve for x
    x = 41,546.02/212.13
  6. Step 6: Final answer
    x = 195.85

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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.