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Finding the Fourth Proportional to 183.34, 252.80 and 121.17

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Solution

The fourth proportional to 183.34, 252.80 and 121.17 is: 167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.34 : 252.80 = 121.17 : x
  2. Step 2: Convert to fraction form
    183.34/252.80 = 121.17/x
  3. Step 3: Cross multiply
    183.34x = 252.80 × 121.17
  4. Step 4: Simplify right side
    183.34x = 30,631.78
  5. Step 5: Solve for x
    x = 30,631.78/183.34
  6. Step 6: Final answer
    x = 167.08

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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.