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Finding the Fourth Proportional to 236.76, 353.89 and 205.66

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Solution

The fourth proportional to 236.76, 353.89 and 205.66 is: 307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.76 : 353.89 = 205.66 : x
  2. Step 2: Convert to fraction form
    236.76/353.89 = 205.66/x
  3. Step 3: Cross multiply
    236.76x = 353.89 × 205.66
  4. Step 4: Simplify right side
    236.76x = 72,781.72
  5. Step 5: Solve for x
    x = 72,781.72/236.76
  6. Step 6: Final answer
    x = 307.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.