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Finding the Fourth Proportional to 171.80, 236.64 and 140.60

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Solution

The fourth proportional to 171.80, 236.64 and 140.60 is: 193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.80 : 236.64 = 140.60 : x
  2. Step 2: Convert to fraction form
    171.80/236.64 = 140.60/x
  3. Step 3: Cross multiply
    171.80x = 236.64 × 140.60
  4. Step 4: Simplify right side
    171.80x = 33,271.58
  5. Step 5: Solve for x
    x = 33,271.58/171.80
  6. Step 6: Final answer
    x = 193.66

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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.