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Finding the Fourth Proportional to 351.14, 524.27 and 329.27

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Solution

The fourth proportional to 351.14, 524.27 and 329.27 is: 491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.14 : 524.27 = 329.27 : x
  2. Step 2: Convert to fraction form
    351.14/524.27 = 329.27/x
  3. Step 3: Cross multiply
    351.14x = 524.27 × 329.27
  4. Step 4: Simplify right side
    351.14x = 172,624.58
  5. Step 5: Solve for x
    x = 172,624.58/351.14
  6. Step 6: Final answer
    x = 491.62

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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.