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Finding the Fourth Proportional to 463.31, 694.77 and 206.63

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Solution

The fourth proportional to 463.31, 694.77 and 206.63 is: 309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.31 : 694.77 = 206.63 : x
  2. Step 2: Convert to fraction form
    463.31/694.77 = 206.63/x
  3. Step 3: Cross multiply
    463.31x = 694.77 × 206.63
  4. Step 4: Simplify right side
    463.31x = 143,556.85
  5. Step 5: Solve for x
    x = 143,556.85/463.31
  6. Step 6: Final answer
    x = 309.85

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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.