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Finding the Fourth Proportional to 347.56, 520.98 and 226.06

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Solution

The fourth proportional to 347.56, 520.98 and 226.06 is: 338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.56 : 520.98 = 226.06 : x
  2. Step 2: Convert to fraction form
    347.56/520.98 = 226.06/x
  3. Step 3: Cross multiply
    347.56x = 520.98 × 226.06
  4. Step 4: Simplify right side
    347.56x = 117,772.74
  5. Step 5: Solve for x
    x = 117,772.74/347.56
  6. Step 6: Final answer
    x = 338.86

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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.