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Finding the Fourth Proportional to 495.38, 684.20 and 329.30

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Solution

The fourth proportional to 495.38, 684.20 and 329.30 is: 454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.38 : 684.20 = 329.30 : x
  2. Step 2: Convert to fraction form
    495.38/684.20 = 329.30/x
  3. Step 3: Cross multiply
    495.38x = 684.20 × 329.30
  4. Step 4: Simplify right side
    495.38x = 225,308.06
  5. Step 5: Solve for x
    x = 225,308.06/495.38
  6. Step 6: Final answer
    x = 454.82

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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.