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Finding the Fourth Proportional to 445.36, 614.78 and 325.90

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Solution

The fourth proportional to 445.36, 614.78 and 325.90 is: 449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.36 : 614.78 = 325.90 : x
  2. Step 2: Convert to fraction form
    445.36/614.78 = 325.90/x
  3. Step 3: Cross multiply
    445.36x = 614.78 × 325.90
  4. Step 4: Simplify right side
    445.36x = 200,356.80
  5. Step 5: Solve for x
    x = 200,356.80/445.36
  6. Step 6: Final answer
    x = 449.88

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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.