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Finding the Fourth Proportional to 97.38, 133.83 and 85.68

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Solution

The fourth proportional to 97.38, 133.83 and 85.68 is: 117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.38 : 133.83 = 85.68 : x
  2. Step 2: Convert to fraction form
    97.38/133.83 = 85.68/x
  3. Step 3: Cross multiply
    97.38x = 133.83 × 85.68
  4. Step 4: Simplify right side
    97.38x = 11,466.55
  5. Step 5: Solve for x
    x = 11,466.55/97.38
  6. Step 6: Final answer
    x = 117.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.