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Finding the Fourth Proportional to 455.72, 683.94 and 182.00

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Solution

The fourth proportional to 455.72, 683.94 and 182.00 is: 273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.72 : 683.94 = 182.00 : x
  2. Step 2: Convert to fraction form
    455.72/683.94 = 182.00/x
  3. Step 3: Cross multiply
    455.72x = 683.94 × 182.00
  4. Step 4: Simplify right side
    455.72x = 124,473.66
  5. Step 5: Solve for x
    x = 124,473.66/455.72
  6. Step 6: Final answer
    x = 273.14

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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.