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Finding the Fourth Proportional to 456.86, 685.34 and 213.46

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Solution

The fourth proportional to 456.86, 685.34 and 213.46 is: 320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.86 : 685.34 = 213.46 : x
  2. Step 2: Convert to fraction form
    456.86/685.34 = 213.46/x
  3. Step 3: Cross multiply
    456.86x = 685.34 × 213.46
  4. Step 4: Simplify right side
    456.86x = 146,288.18
  5. Step 5: Solve for x
    x = 146,288.18/456.86
  6. Step 6: Final answer
    x = 320.20

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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.