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Finding the Fourth Proportional to 366.20, 505.31 and 208.81

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Solution

The fourth proportional to 366.20, 505.31 and 208.81 is: 288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.20 : 505.31 = 208.81 : x
  2. Step 2: Convert to fraction form
    366.20/505.31 = 208.81/x
  3. Step 3: Cross multiply
    366.20x = 505.31 × 208.81
  4. Step 4: Simplify right side
    366.20x = 105,513.04
  5. Step 5: Solve for x
    x = 105,513.04/366.20
  6. Step 6: Final answer
    x = 288.13

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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.