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Finding the Fourth Proportional to 471.48, 707.05 and 163.25

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Solution

The fourth proportional to 471.48, 707.05 and 163.25 is: 244.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.48 : 707.05 = 163.25 : x
  2. Step 2: Convert to fraction form
    471.48/707.05 = 163.25/x
  3. Step 3: Cross multiply
    471.48x = 707.05 × 163.25
  4. Step 4: Simplify right side
    471.48x = 115,425.10
  5. Step 5: Solve for x
    x = 115,425.10/471.48
  6. Step 6: Final answer
    x = 244.81

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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.