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Finding the Fourth Proportional to 142.23, 212 and 131.85

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Solution

The fourth proportional to 142.23, 212 and 131.85 is: 196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.23 : 212 = 131.85 : x
  2. Step 2: Convert to fraction form
    142.23/212 = 131.85/x
  3. Step 3: Cross multiply
    142.23x = 212 × 131.85
  4. Step 4: Simplify right side
    142.23x = 27,952.20
  5. Step 5: Solve for x
    x = 27,952.20/142.23
  6. Step 6: Final answer
    x = 196.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.