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Finding the Fourth Proportional to 820.85, 1,231.28 and 235.91

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Solution

The fourth proportional to 820.85, 1,231.28 and 235.91 is: 353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.85 : 1,231.28 = 235.91 : x
  2. Step 2: Convert to fraction form
    820.85/1,231.28 = 235.91/x
  3. Step 3: Cross multiply
    820.85x = 1,231.28 × 235.91
  4. Step 4: Simplify right side
    820.85x = 290,463.93
  5. Step 5: Solve for x
    x = 290,463.93/820.85
  6. Step 6: Final answer
    x = 353.86

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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.