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Finding the Fourth Proportional to 205.27, 307.69 and 118.77

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Solution

The fourth proportional to 205.27, 307.69 and 118.77 is: 178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.27 : 307.69 = 118.77 : x
  2. Step 2: Convert to fraction form
    205.27/307.69 = 118.77/x
  3. Step 3: Cross multiply
    205.27x = 307.69 × 118.77
  4. Step 4: Simplify right side
    205.27x = 36,544.04
  5. Step 5: Solve for x
    x = 36,544.04/205.27
  6. Step 6: Final answer
    x = 178.03

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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.