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Finding the Fourth Proportional to 496.48, 685.38 and 349.24

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Solution

The fourth proportional to 496.48, 685.38 and 349.24 is: 482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.48 : 685.38 = 349.24 : x
  2. Step 2: Convert to fraction form
    496.48/685.38 = 349.24/x
  3. Step 3: Cross multiply
    496.48x = 685.38 × 349.24
  4. Step 4: Simplify right side
    496.48x = 239,362.11
  5. Step 5: Solve for x
    x = 239,362.11/496.48
  6. Step 6: Final answer
    x = 482.12

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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.