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Finding the Fourth Proportional to 471.96, 708.17 and 198.06

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Solution

The fourth proportional to 471.96, 708.17 and 198.06 is: 297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.96 : 708.17 = 198.06 : x
  2. Step 2: Convert to fraction form
    471.96/708.17 = 198.06/x
  3. Step 3: Cross multiply
    471.96x = 708.17 × 198.06
  4. Step 4: Simplify right side
    471.96x = 140,259.16
  5. Step 5: Solve for x
    x = 140,259.16/471.96
  6. Step 6: Final answer
    x = 297.18

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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.