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Finding the Fourth Proportional to 421.09, 581.00 and 273.70

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Solution

The fourth proportional to 421.09, 581.00 and 273.70 is: 377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.09 : 581.00 = 273.70 : x
  2. Step 2: Convert to fraction form
    421.09/581.00 = 273.70/x
  3. Step 3: Cross multiply
    421.09x = 581.00 × 273.70
  4. Step 4: Simplify right side
    421.09x = 159,016.88
  5. Step 5: Solve for x
    x = 159,016.88/421.09
  6. Step 6: Final answer
    x = 377.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.