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Finding the Fourth Proportional to 455.01, 683.20 and 273.22

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Solution

The fourth proportional to 455.01, 683.20 and 273.22 is: 410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.01 : 683.20 = 273.22 : x
  2. Step 2: Convert to fraction form
    455.01/683.20 = 273.22/x
  3. Step 3: Cross multiply
    455.01x = 683.20 × 273.22
  4. Step 4: Simplify right side
    455.01x = 186,659.12
  5. Step 5: Solve for x
    x = 186,659.12/455.01
  6. Step 6: Final answer
    x = 410.23

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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.