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Finding the Fourth Proportional to 97.00, 144.79 and 84.85

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Solution

The fourth proportional to 97.00, 144.79 and 84.85 is: 126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.00 : 144.79 = 84.85 : x
  2. Step 2: Convert to fraction form
    97.00/144.79 = 84.85/x
  3. Step 3: Cross multiply
    97.00x = 144.79 × 84.85
  4. Step 4: Simplify right side
    97.00x = 12,284.86
  5. Step 5: Solve for x
    x = 12,284.86/97.00
  6. Step 6: Final answer
    x = 126.65

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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.