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Finding the Fourth Proportional to 321, 442.68 and 296.18

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Solution

The fourth proportional to 321, 442.68 and 296.18 is: 408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321 : 442.68 = 296.18 : x
  2. Step 2: Convert to fraction form
    321/442.68 = 296.18/x
  3. Step 3: Cross multiply
    321x = 442.68 × 296.18
  4. Step 4: Simplify right side
    321x = 131,112.96
  5. Step 5: Solve for x
    x = 131,112.96/321
  6. Step 6: Final answer
    x = 408.45

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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.