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Finding the Fourth Proportional to 457.15, 685.92 and 213.65

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Solution

The fourth proportional to 457.15, 685.92 and 213.65 is: 320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.15 : 685.92 = 213.65 : x
  2. Step 2: Convert to fraction form
    457.15/685.92 = 213.65/x
  3. Step 3: Cross multiply
    457.15x = 685.92 × 213.65
  4. Step 4: Simplify right side
    457.15x = 146,546.81
  5. Step 5: Solve for x
    x = 146,546.81/457.15
  6. Step 6: Final answer
    x = 320.57

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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.