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Finding the Fourth Proportional to 366.49, 505.78 and 209.16

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Solution

The fourth proportional to 366.49, 505.78 and 209.16 is: 288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.49 : 505.78 = 209.16 : x
  2. Step 2: Convert to fraction form
    366.49/505.78 = 209.16/x
  3. Step 3: Cross multiply
    366.49x = 505.78 × 209.16
  4. Step 4: Simplify right side
    366.49x = 105,788.42
  5. Step 5: Solve for x
    x = 105,788.42/366.49
  6. Step 6: Final answer
    x = 288.65

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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.