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Finding the Fourth Proportional to 471.82, 707.24 and 198.06

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Solution

The fourth proportional to 471.82, 707.24 and 198.06 is: 296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.82 : 707.24 = 198.06 : x
  2. Step 2: Convert to fraction form
    471.82/707.24 = 198.06/x
  3. Step 3: Cross multiply
    471.82x = 707.24 × 198.06
  4. Step 4: Simplify right side
    471.82x = 140,075.95
  5. Step 5: Solve for x
    x = 140,075.95/471.82
  6. Step 6: Final answer
    x = 296.88

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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.