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Finding the Fourth Proportional to 471.97, 707.91 and 211.98

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Solution

The fourth proportional to 471.97, 707.91 and 211.98 is: 317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.97 : 707.91 = 211.98 : x
  2. Step 2: Convert to fraction form
    471.97/707.91 = 211.98/x
  3. Step 3: Cross multiply
    471.97x = 707.91 × 211.98
  4. Step 4: Simplify right side
    471.97x = 150,062.76
  5. Step 5: Solve for x
    x = 150,062.76/471.97
  6. Step 6: Final answer
    x = 317.95

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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.