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Finding the Fourth Proportional to 142.14, 212.37 and 112.98

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Solution

The fourth proportional to 142.14, 212.37 and 112.98 is: 168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.14 : 212.37 = 112.98 : x
  2. Step 2: Convert to fraction form
    142.14/212.37 = 112.98/x
  3. Step 3: Cross multiply
    142.14x = 212.37 × 112.98
  4. Step 4: Simplify right side
    142.14x = 23,993.56
  5. Step 5: Solve for x
    x = 23,993.56/142.14
  6. Step 6: Final answer
    x = 168.80

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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.