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Finding the Fourth Proportional to 168.63, 253.08 and 114.63

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Solution

The fourth proportional to 168.63, 253.08 and 114.63 is: 172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.63 : 253.08 = 114.63 : x
  2. Step 2: Convert to fraction form
    168.63/253.08 = 114.63/x
  3. Step 3: Cross multiply
    168.63x = 253.08 × 114.63
  4. Step 4: Simplify right side
    168.63x = 29,010.56
  5. Step 5: Solve for x
    x = 29,010.56/168.63
  6. Step 6: Final answer
    x = 172.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.