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Finding the Fourth Proportional to 142.96, 197.40 and 113.98

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Solution

The fourth proportional to 142.96, 197.40 and 113.98 is: 157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 197.40 = 113.98 : x
  2. Step 2: Convert to fraction form
    142.96/197.40 = 113.98/x
  3. Step 3: Cross multiply
    142.96x = 197.40 × 113.98
  4. Step 4: Simplify right side
    142.96x = 22,499.65
  5. Step 5: Solve for x
    x = 22,499.65/142.96
  6. Step 6: Final answer
    x = 157.38

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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.