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Finding the Fourth Proportional to 455.85, 683.67 and 212.25

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Solution

The fourth proportional to 455.85, 683.67 and 212.25 is: 318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.85 : 683.67 = 212.25 : x
  2. Step 2: Convert to fraction form
    455.85/683.67 = 212.25/x
  3. Step 3: Cross multiply
    455.85x = 683.67 × 212.25
  4. Step 4: Simplify right side
    455.85x = 145,108.96
  5. Step 5: Solve for x
    x = 145,108.96/455.85
  6. Step 6: Final answer
    x = 318.33

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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.