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Finding the Fourth Proportional to 366, 505.12 and 208.64

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Solution

The fourth proportional to 366, 505.12 and 208.64 is: 287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    366 : 505.12 = 208.64 : x
  2. Step 2: Convert to fraction form
    366/505.12 = 208.64/x
  3. Step 3: Cross multiply
    366x = 505.12 × 208.64
  4. Step 4: Simplify right side
    366x = 105,388.98
  5. Step 5: Solve for x
    x = 105,388.98/366
  6. Step 6: Final answer
    x = 287.95

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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.