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Finding the Fourth Proportional to 97.31, 134.09 and 79.77

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Solution

The fourth proportional to 97.31, 134.09 and 79.77 is: 109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.31 : 134.09 = 79.77 : x
  2. Step 2: Convert to fraction form
    97.31/134.09 = 79.77/x
  3. Step 3: Cross multiply
    97.31x = 134.09 × 79.77
  4. Step 4: Simplify right side
    97.31x = 10,697.06
  5. Step 5: Solve for x
    x = 10,697.06/97.31
  6. Step 6: Final answer
    x = 109.92

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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.