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Finding the Fourth Proportional to 363.96, 500.04 and 340.20

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Solution

The fourth proportional to 363.96, 500.04 and 340.20 is: 467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.96 : 500.04 = 340.20 : x
  2. Step 2: Convert to fraction form
    363.96/500.04 = 340.20/x
  3. Step 3: Cross multiply
    363.96x = 500.04 × 340.20
  4. Step 4: Simplify right side
    363.96x = 170,113.61
  5. Step 5: Solve for x
    x = 170,113.61/363.96
  6. Step 6: Final answer
    x = 467.40

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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.