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Finding the Fourth Proportional to 366.77, 506.20 and 219.49

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Solution

The fourth proportional to 366.77, 506.20 and 219.49 is: 302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.77 : 506.20 = 219.49 : x
  2. Step 2: Convert to fraction form
    366.77/506.20 = 219.49/x
  3. Step 3: Cross multiply
    366.77x = 506.20 × 219.49
  4. Step 4: Simplify right side
    366.77x = 111,105.84
  5. Step 5: Solve for x
    x = 111,105.84/366.77
  6. Step 6: Final answer
    x = 302.93

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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.