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Finding the Fourth Proportional to 235.97, 353.95 and 181.47

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Solution

The fourth proportional to 235.97, 353.95 and 181.47 is: 272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.97 : 353.95 = 181.47 : x
  2. Step 2: Convert to fraction form
    235.97/353.95 = 181.47/x
  3. Step 3: Cross multiply
    235.97x = 353.95 × 181.47
  4. Step 4: Simplify right side
    235.97x = 64,232.86
  5. Step 5: Solve for x
    x = 64,232.86/235.97
  6. Step 6: Final answer
    x = 272.21

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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.