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Finding the Fourth Proportional to 205.49, 307.90 and 95.68

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Solution

The fourth proportional to 205.49, 307.90 and 95.68 is: 143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.49 : 307.90 = 95.68 : x
  2. Step 2: Convert to fraction form
    205.49/307.90 = 95.68/x
  3. Step 3: Cross multiply
    205.49x = 307.90 × 95.68
  4. Step 4: Simplify right side
    205.49x = 29,458.86
  5. Step 5: Solve for x
    x = 29,458.86/205.49
  6. Step 6: Final answer
    x = 143.36

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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.