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Finding the Fourth Proportional to 205.53, 308.14 and 164.94

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Solution

The fourth proportional to 205.53, 308.14 and 164.94 is: 247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.53 : 308.14 = 164.94 : x
  2. Step 2: Convert to fraction form
    205.53/308.14 = 164.94/x
  3. Step 3: Cross multiply
    205.53x = 308.14 × 164.94
  4. Step 4: Simplify right side
    205.53x = 50,824.61
  5. Step 5: Solve for x
    x = 50,824.61/205.53
  6. Step 6: Final answer
    x = 247.29

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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.