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Finding the Fourth Proportional to 471.06, 705.94 and 196.82

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Solution

The fourth proportional to 471.06, 705.94 and 196.82 is: 294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 705.94 = 196.82 : x
  2. Step 2: Convert to fraction form
    471.06/705.94 = 196.82/x
  3. Step 3: Cross multiply
    471.06x = 705.94 × 196.82
  4. Step 4: Simplify right side
    471.06x = 138,943.11
  5. Step 5: Solve for x
    x = 138,943.11/471.06
  6. Step 6: Final answer
    x = 294.96

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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.