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Finding the Fourth Proportional to 397.66, 597.71 and 329.62

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Solution

The fourth proportional to 397.66, 597.71 and 329.62 is: 495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.66 : 597.71 = 329.62 : x
  2. Step 2: Convert to fraction form
    397.66/597.71 = 329.62/x
  3. Step 3: Cross multiply
    397.66x = 597.71 × 329.62
  4. Step 4: Simplify right side
    397.66x = 197,017.17
  5. Step 5: Solve for x
    x = 197,017.17/397.66
  6. Step 6: Final answer
    x = 495.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.