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Finding the Fourth Proportional to 471.35, 707.13 and 227.54

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Solution

The fourth proportional to 471.35, 707.13 and 227.54 is: 341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.35 : 707.13 = 227.54 : x
  2. Step 2: Convert to fraction form
    471.35/707.13 = 227.54/x
  3. Step 3: Cross multiply
    471.35x = 707.13 × 227.54
  4. Step 4: Simplify right side
    471.35x = 160,902.13
  5. Step 5: Solve for x
    x = 160,902.13/471.35
  6. Step 6: Final answer
    x = 341.36

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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.