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Finding the Fourth Proportional to 239.20, 360.80 and 235.84

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Solution

The fourth proportional to 239.20, 360.80 and 235.84 is: 355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.20 : 360.80 = 235.84 : x
  2. Step 2: Convert to fraction form
    239.20/360.80 = 235.84/x
  3. Step 3: Cross multiply
    239.20x = 360.80 × 235.84
  4. Step 4: Simplify right side
    239.20x = 85,091.07
  5. Step 5: Solve for x
    x = 85,091.07/239.20
  6. Step 6: Final answer
    x = 355.73

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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.