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Finding the Fourth Proportional to 457.11, 685.71 and 197.21

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Solution

The fourth proportional to 457.11, 685.71 and 197.21 is: 295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.11 : 685.71 = 197.21 : x
  2. Step 2: Convert to fraction form
    457.11/685.71 = 197.21/x
  3. Step 3: Cross multiply
    457.11x = 685.71 × 197.21
  4. Step 4: Simplify right side
    457.11x = 135,225.44
  5. Step 5: Solve for x
    x = 135,225.44/457.11
  6. Step 6: Final answer
    x = 295.83

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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.