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Finding the Fourth Proportional to 456.15, 684.21 and 211.92

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Solution

The fourth proportional to 456.15, 684.21 and 211.92 is: 317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.15 : 684.21 = 211.92 : x
  2. Step 2: Convert to fraction form
    456.15/684.21 = 211.92/x
  3. Step 3: Cross multiply
    456.15x = 684.21 × 211.92
  4. Step 4: Simplify right side
    456.15x = 144,997.78
  5. Step 5: Solve for x
    x = 144,997.78/456.15
  6. Step 6: Final answer
    x = 317.87

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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.