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Finding the Fourth Proportional to 338.51, 506.61 and 235.55

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Solution

The fourth proportional to 338.51, 506.61 and 235.55 is: 352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.51 : 506.61 = 235.55 : x
  2. Step 2: Convert to fraction form
    338.51/506.61 = 235.55/x
  3. Step 3: Cross multiply
    338.51x = 506.61 × 235.55
  4. Step 4: Simplify right side
    338.51x = 119,329.45
  5. Step 5: Solve for x
    x = 119,329.45/338.51
  6. Step 6: Final answer
    x = 352.52

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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.