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Finding the Fourth Proportional to 320.44, 442 and 232.96

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Solution

The fourth proportional to 320.44, 442 and 232.96 is: 321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.44 : 442 = 232.96 : x
  2. Step 2: Convert to fraction form
    320.44/442 = 232.96/x
  3. Step 3: Cross multiply
    320.44x = 442 × 232.96
  4. Step 4: Simplify right side
    320.44x = 102,968.32
  5. Step 5: Solve for x
    x = 102,968.32/320.44
  6. Step 6: Final answer
    x = 321.33

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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.