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Finding the Fourth Proportional to 235.42, 354.94 and 219.76

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Solution

The fourth proportional to 235.42, 354.94 and 219.76 is: 331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.42 : 354.94 = 219.76 : x
  2. Step 2: Convert to fraction form
    235.42/354.94 = 219.76/x
  3. Step 3: Cross multiply
    235.42x = 354.94 × 219.76
  4. Step 4: Simplify right side
    235.42x = 78,001.61
  5. Step 5: Solve for x
    x = 78,001.61/235.42
  6. Step 6: Final answer
    x = 331.33

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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.