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Finding the Fourth Proportional to 321.10, 442.87 and 232.91

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Solution

The fourth proportional to 321.10, 442.87 and 232.91 is: 321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.10 : 442.87 = 232.91 : x
  2. Step 2: Convert to fraction form
    321.10/442.87 = 232.91/x
  3. Step 3: Cross multiply
    321.10x = 442.87 × 232.91
  4. Step 4: Simplify right side
    321.10x = 103,147.72
  5. Step 5: Solve for x
    x = 103,147.72/321.10
  6. Step 6: Final answer
    x = 321.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.