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Finding the Fourth Proportional to 142.99, 197.33 and 80.83

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Solution

The fourth proportional to 142.99, 197.33 and 80.83 is: 111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.99 : 197.33 = 80.83 : x
  2. Step 2: Convert to fraction form
    142.99/197.33 = 80.83/x
  3. Step 3: Cross multiply
    142.99x = 197.33 × 80.83
  4. Step 4: Simplify right side
    142.99x = 15,950.03
  5. Step 5: Solve for x
    x = 15,950.03/142.99
  6. Step 6: Final answer
    x = 111.55

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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.