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Finding the Fourth Proportional to 205.09, 307.76 and 83.35

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Solution

The fourth proportional to 205.09, 307.76 and 83.35 is: 125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.09 : 307.76 = 83.35 : x
  2. Step 2: Convert to fraction form
    205.09/307.76 = 83.35/x
  3. Step 3: Cross multiply
    205.09x = 307.76 × 83.35
  4. Step 4: Simplify right side
    205.09x = 25,650.61
  5. Step 5: Solve for x
    x = 25,650.61/205.09
  6. Step 6: Final answer
    x = 125.07

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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.