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Finding the Fourth Proportional to 471.48, 706.68 and 197.52

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Solution

The fourth proportional to 471.48, 706.68 and 197.52 is: 296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.48 : 706.68 = 197.52 : x
  2. Step 2: Convert to fraction form
    471.48/706.68 = 197.52/x
  3. Step 3: Cross multiply
    471.48x = 706.68 × 197.52
  4. Step 4: Simplify right side
    471.48x = 139,583.43
  5. Step 5: Solve for x
    x = 139,583.43/471.48
  6. Step 6: Final answer
    x = 296.05

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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.