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Finding the Fourth Proportional to 205.45, 308.01 and 102.68

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Solution

The fourth proportional to 205.45, 308.01 and 102.68 is: 153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.45 : 308.01 = 102.68 : x
  2. Step 2: Convert to fraction form
    205.45/308.01 = 102.68/x
  3. Step 3: Cross multiply
    205.45x = 308.01 × 102.68
  4. Step 4: Simplify right side
    205.45x = 31,625.89
  5. Step 5: Solve for x
    x = 31,625.89/205.45
  6. Step 6: Final answer
    x = 153.94

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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.