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Finding the Fourth Proportional to 490.05, 675.81 and 392.04

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Solution

The fourth proportional to 490.05, 675.81 and 392.04 is: 540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.05 : 675.81 = 392.04 : x
  2. Step 2: Convert to fraction form
    490.05/675.81 = 392.04/x
  3. Step 3: Cross multiply
    490.05x = 675.81 × 392.04
  4. Step 4: Simplify right side
    490.05x = 264,944.55
  5. Step 5: Solve for x
    x = 264,944.55/490.05
  6. Step 6: Final answer
    x = 540.65

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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.