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Finding the Fourth Proportional to 338.05, 506.95 and 121.57

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Solution

The fourth proportional to 338.05, 506.95 and 121.57 is: 182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.05 : 506.95 = 121.57 : x
  2. Step 2: Convert to fraction form
    338.05/506.95 = 121.57/x
  3. Step 3: Cross multiply
    338.05x = 506.95 × 121.57
  4. Step 4: Simplify right side
    338.05x = 61,629.91
  5. Step 5: Solve for x
    x = 61,629.91/338.05
  6. Step 6: Final answer
    x = 182.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.