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Finding the Fourth Proportional to 366.92, 506.32 and 209.54

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Solution

The fourth proportional to 366.92, 506.32 and 209.54 is: 289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.92 : 506.32 = 209.54 : x
  2. Step 2: Convert to fraction form
    366.92/506.32 = 209.54/x
  3. Step 3: Cross multiply
    366.92x = 506.32 × 209.54
  4. Step 4: Simplify right side
    366.92x = 106,094.29
  5. Step 5: Solve for x
    x = 106,094.29/366.92
  6. Step 6: Final answer
    x = 289.15

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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.