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Finding the Fourth Proportional to 456.80, 684.90 and 213.68

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Solution

The fourth proportional to 456.80, 684.90 and 213.68 is: 320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.80 : 684.90 = 213.68 : x
  2. Step 2: Convert to fraction form
    456.80/684.90 = 213.68/x
  3. Step 3: Cross multiply
    456.80x = 684.90 × 213.68
  4. Step 4: Simplify right side
    456.80x = 146,349.43
  5. Step 5: Solve for x
    x = 146,349.43/456.80
  6. Step 6: Final answer
    x = 320.38

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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.