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Finding the Fourth Proportional to 494.28, 683.16 and 364.20

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Solution

The fourth proportional to 494.28, 683.16 and 364.20 is: 503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.28 : 683.16 = 364.20 : x
  2. Step 2: Convert to fraction form
    494.28/683.16 = 364.20/x
  3. Step 3: Cross multiply
    494.28x = 683.16 × 364.20
  4. Step 4: Simplify right side
    494.28x = 248,806.87
  5. Step 5: Solve for x
    x = 248,806.87/494.28
  6. Step 6: Final answer
    x = 503.37

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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.