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Finding the Fourth Proportional to 329.70, 491.97 and 275.70

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Solution

The fourth proportional to 329.70, 491.97 and 275.70 is: 411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.70 : 491.97 = 275.70 : x
  2. Step 2: Convert to fraction form
    329.70/491.97 = 275.70/x
  3. Step 3: Cross multiply
    329.70x = 491.97 × 275.70
  4. Step 4: Simplify right side
    329.70x = 135,636.13
  5. Step 5: Solve for x
    x = 135,636.13/329.70
  6. Step 6: Final answer
    x = 411.39

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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.