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Finding the Fourth Proportional to 455.14, 683.41 and 273.34

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Solution

The fourth proportional to 455.14, 683.41 and 273.34 is: 410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.14 : 683.41 = 273.34 : x
  2. Step 2: Convert to fraction form
    455.14/683.41 = 273.34/x
  3. Step 3: Cross multiply
    455.14x = 683.41 × 273.34
  4. Step 4: Simplify right side
    455.14x = 186,803.29
  5. Step 5: Solve for x
    x = 186,803.29/455.14
  6. Step 6: Final answer
    x = 410.43

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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.