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Finding the Fourth Proportional to 496.21, 684.45 and 296.90

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Solution

The fourth proportional to 496.21, 684.45 and 296.90 is: 409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.21 : 684.45 = 296.90 : x
  2. Step 2: Convert to fraction form
    496.21/684.45 = 296.90/x
  3. Step 3: Cross multiply
    496.21x = 684.45 × 296.90
  4. Step 4: Simplify right side
    496.21x = 203,212.35
  5. Step 5: Solve for x
    x = 203,212.35/496.21
  6. Step 6: Final answer
    x = 409.53

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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.