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Finding the Fourth Proportional to 142.88, 197.19 and 84.69

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Solution

The fourth proportional to 142.88, 197.19 and 84.69 is: 116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.88 : 197.19 = 84.69 : x
  2. Step 2: Convert to fraction form
    142.88/197.19 = 84.69/x
  3. Step 3: Cross multiply
    142.88x = 197.19 × 84.69
  4. Step 4: Simplify right side
    142.88x = 16,700.02
  5. Step 5: Solve for x
    x = 16,700.02/142.88
  6. Step 6: Final answer
    x = 116.89

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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.