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Finding the Fourth Proportional to 334.92, 505.47 and 326.28

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Solution

The fourth proportional to 334.92, 505.47 and 326.28 is: 492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.92 : 505.47 = 326.28 : x
  2. Step 2: Convert to fraction form
    334.92/505.47 = 326.28/x
  3. Step 3: Cross multiply
    334.92x = 505.47 × 326.28
  4. Step 4: Simplify right side
    334.92x = 164,924.75
  5. Step 5: Solve for x
    x = 164,924.75/334.92
  6. Step 6: Final answer
    x = 492.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.