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Finding the Fourth Proportional to 171.07, 236.08 and 96.40

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Solution

The fourth proportional to 171.07, 236.08 and 96.40 is: 133.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.07 : 236.08 = 96.40 : x
  2. Step 2: Convert to fraction form
    171.07/236.08 = 96.40/x
  3. Step 3: Cross multiply
    171.07x = 236.08 × 96.40
  4. Step 4: Simplify right side
    171.07x = 22,757.28
  5. Step 5: Solve for x
    x = 22,757.28/171.07
  6. Step 6: Final answer
    x = 133.03

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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.