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Finding the Fourth Proportional to 455.67, 683.09 and 208.62

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Solution

The fourth proportional to 455.67, 683.09 and 208.62 is: 312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.67 : 683.09 = 208.62 : x
  2. Step 2: Convert to fraction form
    455.67/683.09 = 208.62/x
  3. Step 3: Cross multiply
    455.67x = 683.09 × 208.62
  4. Step 4: Simplify right side
    455.67x = 142,506.24
  5. Step 5: Solve for x
    x = 142,506.24/455.67
  6. Step 6: Final answer
    x = 312.74

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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.