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Finding the Fourth Proportional to 180.81, 272.34 and 168.14

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Solution

The fourth proportional to 180.81, 272.34 and 168.14 is: 253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.81 : 272.34 = 168.14 : x
  2. Step 2: Convert to fraction form
    180.81/272.34 = 168.14/x
  3. Step 3: Cross multiply
    180.81x = 272.34 × 168.14
  4. Step 4: Simplify right side
    180.81x = 45,791.54
  5. Step 5: Solve for x
    x = 45,791.54/180.81
  6. Step 6: Final answer
    x = 253.26

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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.