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Finding the Fourth Proportional to 180.04, 248.34 and 121.78

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Solution

The fourth proportional to 180.04, 248.34 and 121.78 is: 167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.04 : 248.34 = 121.78 : x
  2. Step 2: Convert to fraction form
    180.04/248.34 = 121.78/x
  3. Step 3: Cross multiply
    180.04x = 248.34 × 121.78
  4. Step 4: Simplify right side
    180.04x = 30,242.85
  5. Step 5: Solve for x
    x = 30,242.85/180.04
  6. Step 6: Final answer
    x = 167.98

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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.