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Finding the Fourth Proportional to 97.63, 134.67 and 79.21

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Solution

The fourth proportional to 97.63, 134.67 and 79.21 is: 109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.63 : 134.67 = 79.21 : x
  2. Step 2: Convert to fraction form
    97.63/134.67 = 79.21/x
  3. Step 3: Cross multiply
    97.63x = 134.67 × 79.21
  4. Step 4: Simplify right side
    97.63x = 10,667.21
  5. Step 5: Solve for x
    x = 10,667.21/97.63
  6. Step 6: Final answer
    x = 109.26

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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.