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Finding the Fourth Proportional to 334, 460.96 and 223.48

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Solution

The fourth proportional to 334, 460.96 and 223.48 is: 308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334 : 460.96 = 223.48 : x
  2. Step 2: Convert to fraction form
    334/460.96 = 223.48/x
  3. Step 3: Cross multiply
    334x = 460.96 × 223.48
  4. Step 4: Simplify right side
    334x = 103,015.34
  5. Step 5: Solve for x
    x = 103,015.34/334
  6. Step 6: Final answer
    x = 308.43

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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.