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Finding the Fourth Proportional to 457.21, 685.81 and 132.57

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Solution

The fourth proportional to 457.21, 685.81 and 132.57 is: 198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.21 : 685.81 = 132.57 : x
  2. Step 2: Convert to fraction form
    457.21/685.81 = 132.57/x
  3. Step 3: Cross multiply
    457.21x = 685.81 × 132.57
  4. Step 4: Simplify right side
    457.21x = 90,914.40
  5. Step 5: Solve for x
    x = 90,914.40/457.21
  6. Step 6: Final answer
    x = 198.85

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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.