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Finding the Fourth Proportional to 366.87, 506.18 and 209.51

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Solution

The fourth proportional to 366.87, 506.18 and 209.51 is: 289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.87 : 506.18 = 209.51 : x
  2. Step 2: Convert to fraction form
    366.87/506.18 = 209.51/x
  3. Step 3: Cross multiply
    366.87x = 506.18 × 209.51
  4. Step 4: Simplify right side
    366.87x = 106,046.19
  5. Step 5: Solve for x
    x = 106,046.19/366.87
  6. Step 6: Final answer
    x = 289.06

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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.