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Finding the Fourth Proportional to 437.09, 656.24 and 254.43

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Solution

The fourth proportional to 437.09, 656.24 and 254.43 is: 382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.09 : 656.24 = 254.43 : x
  2. Step 2: Convert to fraction form
    437.09/656.24 = 254.43/x
  3. Step 3: Cross multiply
    437.09x = 656.24 × 254.43
  4. Step 4: Simplify right side
    437.09x = 166,965.87
  5. Step 5: Solve for x
    x = 166,965.87/437.09
  6. Step 6: Final answer
    x = 382.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.