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Finding the Fourth Proportional to 455.85, 684.11 and 212.42

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Solution

The fourth proportional to 455.85, 684.11 and 212.42 is: 318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.85 : 684.11 = 212.42 : x
  2. Step 2: Convert to fraction form
    455.85/684.11 = 212.42/x
  3. Step 3: Cross multiply
    455.85x = 684.11 × 212.42
  4. Step 4: Simplify right side
    455.85x = 145,314.16
  5. Step 5: Solve for x
    x = 145,314.16/455.85
  6. Step 6: Final answer
    x = 318.78

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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.