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Finding the Fourth Proportional to 496.67, 685.00 and 309.81

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Solution

The fourth proportional to 496.67, 685.00 and 309.81 is: 427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.67 : 685.00 = 309.81 : x
  2. Step 2: Convert to fraction form
    496.67/685.00 = 309.81/x
  3. Step 3: Cross multiply
    496.67x = 685.00 × 309.81
  4. Step 4: Simplify right side
    496.67x = 212,219.08
  5. Step 5: Solve for x
    x = 212,219.08/496.67
  6. Step 6: Final answer
    x = 427.28

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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.