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Finding the Fourth Proportional to 471.22, 706.48 and 197.39

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Solution

The fourth proportional to 471.22, 706.48 and 197.39 is: 295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.22 : 706.48 = 197.39 : x
  2. Step 2: Convert to fraction form
    471.22/706.48 = 197.39/x
  3. Step 3: Cross multiply
    471.22x = 706.48 × 197.39
  4. Step 4: Simplify right side
    471.22x = 139,448.55
  5. Step 5: Solve for x
    x = 139,448.55/471.22
  6. Step 6: Final answer
    x = 295.93

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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.