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Finding the Fourth Proportional to 420.41, 580.41 and 280.72

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Solution

The fourth proportional to 420.41, 580.41 and 280.72 is: 387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.41 : 580.41 = 280.72 : x
  2. Step 2: Convert to fraction form
    420.41/580.41 = 280.72/x
  3. Step 3: Cross multiply
    420.41x = 580.41 × 280.72
  4. Step 4: Simplify right side
    420.41x = 162,932.70
  5. Step 5: Solve for x
    x = 162,932.70/420.41
  6. Step 6: Final answer
    x = 387.56

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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.