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Finding the Fourth Proportional to 538.70, 743.50 and 329.10

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Solution

The fourth proportional to 538.70, 743.50 and 329.10 is: 454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.70 : 743.50 = 329.10 : x
  2. Step 2: Convert to fraction form
    538.70/743.50 = 329.10/x
  3. Step 3: Cross multiply
    538.70x = 743.50 × 329.10
  4. Step 4: Simplify right side
    538.70x = 244,685.85
  5. Step 5: Solve for x
    x = 244,685.85/538.70
  6. Step 6: Final answer
    x = 454.22

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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.