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Finding the Fourth Proportional to 180.63, 272.36 and 165.51

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Solution

The fourth proportional to 180.63, 272.36 and 165.51 is: 249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.63 : 272.36 = 165.51 : x
  2. Step 2: Convert to fraction form
    180.63/272.36 = 165.51/x
  3. Step 3: Cross multiply
    180.63x = 272.36 × 165.51
  4. Step 4: Simplify right side
    180.63x = 45,078.72
  5. Step 5: Solve for x
    x = 45,078.72/180.63
  6. Step 6: Final answer
    x = 249.56

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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.