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Finding the Fourth Proportional to 336.80, 505.20 and 208.52

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Solution

The fourth proportional to 336.80, 505.20 and 208.52 is: 312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.80 : 505.20 = 208.52 : x
  2. Step 2: Convert to fraction form
    336.80/505.20 = 208.52/x
  3. Step 3: Cross multiply
    336.80x = 505.20 × 208.52
  4. Step 4: Simplify right side
    336.80x = 105,344.30
  5. Step 5: Solve for x
    x = 105,344.30/336.80
  6. Step 6: Final answer
    x = 312.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.