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Finding the Fourth Proportional to 205.44, 308.23 and 118.77

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Solution

The fourth proportional to 205.44, 308.23 and 118.77 is: 178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.44 : 308.23 = 118.77 : x
  2. Step 2: Convert to fraction form
    205.44/308.23 = 118.77/x
  3. Step 3: Cross multiply
    205.44x = 308.23 × 118.77
  4. Step 4: Simplify right side
    205.44x = 36,607.36
  5. Step 5: Solve for x
    x = 36,607.36/205.44
  6. Step 6: Final answer
    x = 178.19

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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.