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Finding the Fourth Proportional to 420.82, 580.12 and 321.23

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Solution

The fourth proportional to 420.82, 580.12 and 321.23 is: 442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.82 : 580.12 = 321.23 : x
  2. Step 2: Convert to fraction form
    420.82/580.12 = 321.23/x
  3. Step 3: Cross multiply
    420.82x = 580.12 × 321.23
  4. Step 4: Simplify right side
    420.82x = 186,351.95
  5. Step 5: Solve for x
    x = 186,351.95/420.82
  6. Step 6: Final answer
    x = 442.83

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