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Finding the Fourth Proportional to 235.82, 355.12 and 205.74

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Solution

The fourth proportional to 235.82, 355.12 and 205.74 is: 309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.82 : 355.12 = 205.74 : x
  2. Step 2: Convert to fraction form
    235.82/355.12 = 205.74/x
  3. Step 3: Cross multiply
    235.82x = 355.12 × 205.74
  4. Step 4: Simplify right side
    235.82x = 73,062.39
  5. Step 5: Solve for x
    x = 73,062.39/235.82
  6. Step 6: Final answer
    x = 309.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.