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Finding the Fourth Proportional to 455.17, 683.14 and 208.68

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Solution

The fourth proportional to 455.17, 683.14 and 208.68 is: 313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.17 : 683.14 = 208.68 : x
  2. Step 2: Convert to fraction form
    455.17/683.14 = 208.68/x
  3. Step 3: Cross multiply
    455.17x = 683.14 × 208.68
  4. Step 4: Simplify right side
    455.17x = 142,559.64
  5. Step 5: Solve for x
    x = 142,559.64/455.17
  6. Step 6: Final answer
    x = 313.20

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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.