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Finding the Fourth Proportional to 363.79, 498.38 and 349.92

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Solution

The fourth proportional to 363.79, 498.38 and 349.92 is: 479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.79 : 498.38 = 349.92 : x
  2. Step 2: Convert to fraction form
    363.79/498.38 = 349.92/x
  3. Step 3: Cross multiply
    363.79x = 498.38 × 349.92
  4. Step 4: Simplify right side
    363.79x = 174,390.64
  5. Step 5: Solve for x
    x = 174,390.64/363.79
  6. Step 6: Final answer
    x = 479.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.