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Finding the Fourth Proportional to 180.45, 248.85 and 121.46

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Solution

The fourth proportional to 180.45, 248.85 and 121.46 is: 167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.45 : 248.85 = 121.46 : x
  2. Step 2: Convert to fraction form
    180.45/248.85 = 121.46/x
  3. Step 3: Cross multiply
    180.45x = 248.85 × 121.46
  4. Step 4: Simplify right side
    180.45x = 30,224.08
  5. Step 5: Solve for x
    x = 30,224.08/180.45
  6. Step 6: Final answer
    x = 167.49

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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.