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Finding the Fourth Proportional to 180.05, 248.31 and 175.82

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Solution

The fourth proportional to 180.05, 248.31 and 175.82 is: 242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.05 : 248.31 = 175.82 : x
  2. Step 2: Convert to fraction form
    180.05/248.31 = 175.82/x
  3. Step 3: Cross multiply
    180.05x = 248.31 × 175.82
  4. Step 4: Simplify right side
    180.05x = 43,657.86
  5. Step 5: Solve for x
    x = 43,657.86/180.05
  6. Step 6: Final answer
    x = 242.48

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Why These Related Problems?

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