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Finding the Fourth Proportional to 445.09, 614.15 and 287.43

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Solution

The fourth proportional to 445.09, 614.15 and 287.43 is: 396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.09 : 614.15 = 287.43 : x
  2. Step 2: Convert to fraction form
    445.09/614.15 = 287.43/x
  3. Step 3: Cross multiply
    445.09x = 614.15 × 287.43
  4. Step 4: Simplify right side
    445.09x = 176,520.63
  5. Step 5: Solve for x
    x = 176,520.63/445.09
  6. Step 6: Final answer
    x = 396.60

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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.