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Finding the Fourth Proportional to 97.01, 144.82 and 84.27

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Solution

The fourth proportional to 97.01, 144.82 and 84.27 is: 125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.01 : 144.82 = 84.27 : x
  2. Step 2: Convert to fraction form
    97.01/144.82 = 84.27/x
  3. Step 3: Cross multiply
    97.01x = 144.82 × 84.27
  4. Step 4: Simplify right side
    97.01x = 12,202.94
  5. Step 5: Solve for x
    x = 12,202.94/97.01
  6. Step 6: Final answer
    x = 125.80

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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.