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Finding the Fourth Proportional to 168.66, 253.96 and 143.07

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Solution

The fourth proportional to 168.66, 253.96 and 143.07 is: 215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.66 : 253.96 = 143.07 : x
  2. Step 2: Convert to fraction form
    168.66/253.96 = 143.07/x
  3. Step 3: Cross multiply
    168.66x = 253.96 × 143.07
  4. Step 4: Simplify right side
    168.66x = 36,333.15
  5. Step 5: Solve for x
    x = 36,333.15/168.66
  6. Step 6: Final answer
    x = 215.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.