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Finding the Fourth Proportional to 366.61, 505.08 and 349.33

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Solution

The fourth proportional to 366.61, 505.08 and 349.33 is: 481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.61 : 505.08 = 349.33 : x
  2. Step 2: Convert to fraction form
    366.61/505.08 = 349.33/x
  3. Step 3: Cross multiply
    366.61x = 505.08 × 349.33
  4. Step 4: Simplify right side
    366.61x = 176,439.60
  5. Step 5: Solve for x
    x = 176,439.60/366.61
  6. Step 6: Final answer
    x = 481.27

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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.