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Finding the Fourth Proportional to 171.70, 236.96 and 130.18

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Solution

The fourth proportional to 171.70, 236.96 and 130.18 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.70 : 236.96 = 130.18 : x
  2. Step 2: Convert to fraction form
    171.70/236.96 = 130.18/x
  3. Step 3: Cross multiply
    171.70x = 236.96 × 130.18
  4. Step 4: Simplify right side
    171.70x = 30,847.45
  5. Step 5: Solve for x
    x = 30,847.45/171.70
  6. Step 6: Final answer
    x = 179.66

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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.