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Finding the Fourth Proportional to 445.50, 614.25 and 362.43

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Solution

The fourth proportional to 445.50, 614.25 and 362.43 is: 499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.50 : 614.25 = 362.43 : x
  2. Step 2: Convert to fraction form
    445.50/614.25 = 362.43/x
  3. Step 3: Cross multiply
    445.50x = 614.25 × 362.43
  4. Step 4: Simplify right side
    445.50x = 222,622.63
  5. Step 5: Solve for x
    x = 222,622.63/445.50
  6. Step 6: Final answer
    x = 499.71

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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.