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Finding the Fourth Proportional to 455.72, 681.90 and 273.16

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Solution

The fourth proportional to 455.72, 681.90 and 273.16 is: 408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.72 : 681.90 = 273.16 : x
  2. Step 2: Convert to fraction form
    455.72/681.90 = 273.16/x
  3. Step 3: Cross multiply
    455.72x = 681.90 × 273.16
  4. Step 4: Simplify right side
    455.72x = 186,267.80
  5. Step 5: Solve for x
    x = 186,267.80/455.72
  6. Step 6: Final answer
    x = 408.73

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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.