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Finding the Fourth Proportional to 205.20, 307.46 and 161.69

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Solution

The fourth proportional to 205.20, 307.46 and 161.69 is: 242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.20 : 307.46 = 161.69 : x
  2. Step 2: Convert to fraction form
    205.20/307.46 = 161.69/x
  3. Step 3: Cross multiply
    205.20x = 307.46 × 161.69
  4. Step 4: Simplify right side
    205.20x = 49,712.07
  5. Step 5: Solve for x
    x = 49,712.07/205.20
  6. Step 6: Final answer
    x = 242.26

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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.