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Finding the Fourth Proportional to 445.43, 614.91 and 305.80

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Solution

The fourth proportional to 445.43, 614.91 and 305.80 is: 422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.43 : 614.91 = 305.80 : x
  2. Step 2: Convert to fraction form
    445.43/614.91 = 305.80/x
  3. Step 3: Cross multiply
    445.43x = 614.91 × 305.80
  4. Step 4: Simplify right side
    445.43x = 188,039.48
  5. Step 5: Solve for x
    x = 188,039.48/445.43
  6. Step 6: Final answer
    x = 422.15

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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.