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Finding the Fourth Proportional to 347.18, 520.58 and 226.22

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Solution

The fourth proportional to 347.18, 520.58 and 226.22 is: 339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.18 : 520.58 = 226.22 : x
  2. Step 2: Convert to fraction form
    347.18/520.58 = 226.22/x
  3. Step 3: Cross multiply
    347.18x = 520.58 × 226.22
  4. Step 4: Simplify right side
    347.18x = 117,764.48
  5. Step 5: Solve for x
    x = 117,764.48/347.18
  6. Step 6: Final answer
    x = 339.20

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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.