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Finding the Fourth Proportional to 205.90, 307.35 and 191.66

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Solution

The fourth proportional to 205.90, 307.35 and 191.66 is: 286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.90 : 307.35 = 191.66 : x
  2. Step 2: Convert to fraction form
    205.90/307.35 = 191.66/x
  3. Step 3: Cross multiply
    205.90x = 307.35 × 191.66
  4. Step 4: Simplify right side
    205.90x = 58,905.74
  5. Step 5: Solve for x
    x = 58,905.74/205.90
  6. Step 6: Final answer
    x = 286.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.