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Finding the Fourth Proportional to 496.87, 686.18 and 322.31

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Solution

The fourth proportional to 496.87, 686.18 and 322.31 is: 445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.87 : 686.18 = 322.31 : x
  2. Step 2: Convert to fraction form
    496.87/686.18 = 322.31/x
  3. Step 3: Cross multiply
    496.87x = 686.18 × 322.31
  4. Step 4: Simplify right side
    496.87x = 221,165.20
  5. Step 5: Solve for x
    x = 221,165.20/496.87
  6. Step 6: Final answer
    x = 445.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.