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Finding the Fourth Proportional to 496.24, 684.67 and 296.99

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Solution

The fourth proportional to 496.24, 684.67 and 296.99 is: 409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.24 : 684.67 = 296.99 : x
  2. Step 2: Convert to fraction form
    496.24/684.67 = 296.99/x
  3. Step 3: Cross multiply
    496.24x = 684.67 × 296.99
  4. Step 4: Simplify right side
    496.24x = 203,338.37
  5. Step 5: Solve for x
    x = 203,338.37/496.24
  6. Step 6: Final answer
    x = 409.76

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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.