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Finding the Fourth Proportional to 363.21, 500.34 and 340.53

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Solution

The fourth proportional to 363.21, 500.34 and 340.53 is: 469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.21 : 500.34 = 340.53 : x
  2. Step 2: Convert to fraction form
    363.21/500.34 = 340.53/x
  3. Step 3: Cross multiply
    363.21x = 500.34 × 340.53
  4. Step 4: Simplify right side
    363.21x = 170,380.78
  5. Step 5: Solve for x
    x = 170,380.78/363.21
  6. Step 6: Final answer
    x = 469.10

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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.