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Finding the Fourth Proportional to 307.90, 462.31 and 205.39

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Solution

The fourth proportional to 307.90, 462.31 and 205.39 is: 308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.90 : 462.31 = 205.39 : x
  2. Step 2: Convert to fraction form
    307.90/462.31 = 205.39/x
  3. Step 3: Cross multiply
    307.90x = 462.31 × 205.39
  4. Step 4: Simplify right side
    307.90x = 94,951.31
  5. Step 5: Solve for x
    x = 94,951.31/307.90
  6. Step 6: Final answer
    x = 308.38

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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.