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Finding the Fourth Proportional to 471.47, 707.21 and 227.72

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Solution

The fourth proportional to 471.47, 707.21 and 227.72 is: 341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.47 : 707.21 = 227.72 : x
  2. Step 2: Convert to fraction form
    471.47/707.21 = 227.72/x
  3. Step 3: Cross multiply
    471.47x = 707.21 × 227.72
  4. Step 4: Simplify right side
    471.47x = 161,041.19
  5. Step 5: Solve for x
    x = 161,041.19/471.47
  6. Step 6: Final answer
    x = 341.58

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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.