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Finding the Fourth Proportional to 343.41, 474.05 and 225.55

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Solution

The fourth proportional to 343.41, 474.05 and 225.55 is: 311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.41 : 474.05 = 225.55 : x
  2. Step 2: Convert to fraction form
    343.41/474.05 = 225.55/x
  3. Step 3: Cross multiply
    343.41x = 474.05 × 225.55
  4. Step 4: Simplify right side
    343.41x = 106,921.98
  5. Step 5: Solve for x
    x = 106,921.98/343.41
  6. Step 6: Final answer
    x = 311.35

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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.