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Finding the Fourth Proportional to 142.24, 212.24 and 131.98

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Solution

The fourth proportional to 142.24, 212.24 and 131.98 is: 196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.24 : 212.24 = 131.98 : x
  2. Step 2: Convert to fraction form
    142.24/212.24 = 131.98/x
  3. Step 3: Cross multiply
    142.24x = 212.24 × 131.98
  4. Step 4: Simplify right side
    142.24x = 28,011.44
  5. Step 5: Solve for x
    x = 28,011.44/142.24
  6. Step 6: Final answer
    x = 196.93

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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.