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Finding the Fourth Proportional to 457.24, 685.64 and 213.80

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Solution

The fourth proportional to 457.24, 685.64 and 213.80 is: 320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.24 : 685.64 = 213.80 : x
  2. Step 2: Convert to fraction form
    457.24/685.64 = 213.80/x
  3. Step 3: Cross multiply
    457.24x = 685.64 × 213.80
  4. Step 4: Simplify right side
    457.24x = 146,589.83
  5. Step 5: Solve for x
    x = 146,589.83/457.24
  6. Step 6: Final answer
    x = 320.60

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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.