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Finding the Fourth Proportional to 179.98, 248.43 and 121.84

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Solution

The fourth proportional to 179.98, 248.43 and 121.84 is: 168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.98 : 248.43 = 121.84 : x
  2. Step 2: Convert to fraction form
    179.98/248.43 = 121.84/x
  3. Step 3: Cross multiply
    179.98x = 248.43 × 121.84
  4. Step 4: Simplify right side
    179.98x = 30,268.71
  5. Step 5: Solve for x
    x = 30,268.71/179.98
  6. Step 6: Final answer
    x = 168.18

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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.