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Finding the Fourth Proportional to 496.07, 684.18 and 309.21

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Solution

The fourth proportional to 496.07, 684.18 and 309.21 is: 426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.07 : 684.18 = 309.21 : x
  2. Step 2: Convert to fraction form
    496.07/684.18 = 309.21/x
  3. Step 3: Cross multiply
    496.07x = 684.18 × 309.21
  4. Step 4: Simplify right side
    496.07x = 211,555.30
  5. Step 5: Solve for x
    x = 211,555.30/496.07
  6. Step 6: Final answer
    x = 426.47

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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.