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Finding the Fourth Proportional to 97.58, 134.61 and 76.83

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Solution

The fourth proportional to 97.58, 134.61 and 76.83 is: 105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.58 : 134.61 = 76.83 : x
  2. Step 2: Convert to fraction form
    97.58/134.61 = 76.83/x
  3. Step 3: Cross multiply
    97.58x = 134.61 × 76.83
  4. Step 4: Simplify right side
    97.58x = 10,342.09
  5. Step 5: Solve for x
    x = 10,342.09/97.58
  6. Step 6: Final answer
    x = 105.99

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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.