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Finding the Fourth Proportional to 496.02, 684.35 and 286.17

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Solution

The fourth proportional to 496.02, 684.35 and 286.17 is: 394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.02 : 684.35 = 286.17 : x
  2. Step 2: Convert to fraction form
    496.02/684.35 = 286.17/x
  3. Step 3: Cross multiply
    496.02x = 684.35 × 286.17
  4. Step 4: Simplify right side
    496.02x = 195,841.69
  5. Step 5: Solve for x
    x = 195,841.69/496.02
  6. Step 6: Final answer
    x = 394.82

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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.