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Finding the Fourth Proportional to 333.77, 500.66 and 205.25

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Solution

The fourth proportional to 333.77, 500.66 and 205.25 is: 307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.77 : 500.66 = 205.25 : x
  2. Step 2: Convert to fraction form
    333.77/500.66 = 205.25/x
  3. Step 3: Cross multiply
    333.77x = 500.66 × 205.25
  4. Step 4: Simplify right side
    333.77x = 102,759.44
  5. Step 5: Solve for x
    x = 102,759.44/333.77
  6. Step 6: Final answer
    x = 307.88

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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.