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Finding the Fourth Proportional to 97.37, 133.87 and 83.49

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Solution

The fourth proportional to 97.37, 133.87 and 83.49 is: 114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.37 : 133.87 = 83.49 : x
  2. Step 2: Convert to fraction form
    97.37/133.87 = 83.49/x
  3. Step 3: Cross multiply
    97.37x = 133.87 × 83.49
  4. Step 4: Simplify right side
    97.37x = 11,176.81
  5. Step 5: Solve for x
    x = 11,176.81/97.37
  6. Step 6: Final answer
    x = 114.79

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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.