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Finding the Fourth Proportional to 366.14, 505.29 and 216.80

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Solution

The fourth proportional to 366.14, 505.29 and 216.80 is: 299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.14 : 505.29 = 216.80 : x
  2. Step 2: Convert to fraction form
    366.14/505.29 = 216.80/x
  3. Step 3: Cross multiply
    366.14x = 505.29 × 216.80
  4. Step 4: Simplify right side
    366.14x = 109,546.87
  5. Step 5: Solve for x
    x = 109,546.87/366.14
  6. Step 6: Final answer
    x = 299.19

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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.