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Finding the Fourth Proportional to 366.84, 506.13 and 209.48

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Solution

The fourth proportional to 366.84, 506.13 and 209.48 is: 289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.84 : 506.13 = 209.48 : x
  2. Step 2: Convert to fraction form
    366.84/506.13 = 209.48/x
  3. Step 3: Cross multiply
    366.84x = 506.13 × 209.48
  4. Step 4: Simplify right side
    366.84x = 106,021.58
  5. Step 5: Solve for x
    x = 106,021.58/366.84
  6. Step 6: Final answer
    x = 289.01

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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.