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Finding the Fourth Proportional to 467.81, 645.22 and 363.22

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Solution

The fourth proportional to 467.81, 645.22 and 363.22 is: 500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.81 : 645.22 = 363.22 : x
  2. Step 2: Convert to fraction form
    467.81/645.22 = 363.22/x
  3. Step 3: Cross multiply
    467.81x = 645.22 × 363.22
  4. Step 4: Simplify right side
    467.81x = 234,353.61
  5. Step 5: Solve for x
    x = 234,353.61/467.81
  6. Step 6: Final answer
    x = 500.96

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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.