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Finding the Fourth Proportional to 334.33, 498.40 and 329.07

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Solution

The fourth proportional to 334.33, 498.40 and 329.07 is: 490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.33 : 498.40 = 329.07 : x
  2. Step 2: Convert to fraction form
    334.33/498.40 = 329.07/x
  3. Step 3: Cross multiply
    334.33x = 498.40 × 329.07
  4. Step 4: Simplify right side
    334.33x = 164,008.49
  5. Step 5: Solve for x
    x = 164,008.49/334.33
  6. Step 6: Final answer
    x = 490.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.