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Finding the Fourth Proportional to 343.44, 474.26 and 255.96

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Solution

The fourth proportional to 343.44, 474.26 and 255.96 is: 353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.44 : 474.26 = 255.96 : x
  2. Step 2: Convert to fraction form
    343.44/474.26 = 255.96/x
  3. Step 3: Cross multiply
    343.44x = 474.26 × 255.96
  4. Step 4: Simplify right side
    343.44x = 121,390.31
  5. Step 5: Solve for x
    x = 121,390.31/343.44
  6. Step 6: Final answer
    x = 353.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.