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Finding the Fourth Proportional to 235.78, 355.07 and 205.72

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Solution

The fourth proportional to 235.78, 355.07 and 205.72 is: 309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.78 : 355.07 = 205.72 : x
  2. Step 2: Convert to fraction form
    235.78/355.07 = 205.72/x
  3. Step 3: Cross multiply
    235.78x = 355.07 × 205.72
  4. Step 4: Simplify right side
    235.78x = 73,044.63
  5. Step 5: Solve for x
    x = 73,044.63/235.78
  6. Step 6: Final answer
    x = 309.80

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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.