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Finding the Fourth Proportional to 171.63, 236.84 and 102.63

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Solution

The fourth proportional to 171.63, 236.84 and 102.63 is: 141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.63 : 236.84 = 102.63 : x
  2. Step 2: Convert to fraction form
    171.63/236.84 = 102.63/x
  3. Step 3: Cross multiply
    171.63x = 236.84 × 102.63
  4. Step 4: Simplify right side
    171.63x = 24,305.96
  5. Step 5: Solve for x
    x = 24,305.96/171.63
  6. Step 6: Final answer
    x = 141.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.