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Finding the Fourth Proportional to 307.97, 461.95 and 179.63

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Solution

The fourth proportional to 307.97, 461.95 and 179.63 is: 269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.97 : 461.95 = 179.63 : x
  2. Step 2: Convert to fraction form
    307.97/461.95 = 179.63/x
  3. Step 3: Cross multiply
    307.97x = 461.95 × 179.63
  4. Step 4: Simplify right side
    307.97x = 82,977.32
  5. Step 5: Solve for x
    x = 82,977.32/307.97
  6. Step 6: Final answer
    x = 269.44

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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.