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Finding the Fourth Proportional to 205.05, 307.65 and 96.85

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Solution

The fourth proportional to 205.05, 307.65 and 96.85 is: 145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.05 : 307.65 = 96.85 : x
  2. Step 2: Convert to fraction form
    205.05/307.65 = 96.85/x
  3. Step 3: Cross multiply
    205.05x = 307.65 × 96.85
  4. Step 4: Simplify right side
    205.05x = 29,793.88
  5. Step 5: Solve for x
    x = 29,793.88/205.05
  6. Step 6: Final answer
    x = 145.30

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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.