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Finding the Fourth Proportional to 250.97, 377.30 and 205.66

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Solution

The fourth proportional to 250.97, 377.30 and 205.66 is: 309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.97 : 377.30 = 205.66 : x
  2. Step 2: Convert to fraction form
    250.97/377.30 = 205.66/x
  3. Step 3: Cross multiply
    250.97x = 377.30 × 205.66
  4. Step 4: Simplify right side
    250.97x = 77,592.60
  5. Step 5: Solve for x
    x = 77,592.60/250.97
  6. Step 6: Final answer
    x = 309.17

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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.