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Finding the Fourth Proportional to 366.50, 506.78 and 349.28

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Solution

The fourth proportional to 366.50, 506.78 and 349.28 is: 482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.50 : 506.78 = 349.28 : x
  2. Step 2: Convert to fraction form
    366.50/506.78 = 349.28/x
  3. Step 3: Cross multiply
    366.50x = 506.78 × 349.28
  4. Step 4: Simplify right side
    366.50x = 177,008.12
  5. Step 5: Solve for x
    x = 177,008.12/366.50
  6. Step 6: Final answer
    x = 482.97

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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.