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Finding the Fourth Proportional to 366.31, 505.45 and 208.96

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Solution

The fourth proportional to 366.31, 505.45 and 208.96 is: 288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.31 : 505.45 = 208.96 : x
  2. Step 2: Convert to fraction form
    366.31/505.45 = 208.96/x
  3. Step 3: Cross multiply
    366.31x = 505.45 × 208.96
  4. Step 4: Simplify right side
    366.31x = 105,618.83
  5. Step 5: Solve for x
    x = 105,618.83/366.31
  6. Step 6: Final answer
    x = 288.33

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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.