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Finding the Fourth Proportional to 420.45, 580.26 and 300.68

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Solution

The fourth proportional to 420.45, 580.26 and 300.68 is: 414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.45 : 580.26 = 300.68 : x
  2. Step 2: Convert to fraction form
    420.45/580.26 = 300.68/x
  3. Step 3: Cross multiply
    420.45x = 580.26 × 300.68
  4. Step 4: Simplify right side
    420.45x = 174,469.68
  5. Step 5: Solve for x
    x = 174,469.68/420.45
  6. Step 6: Final answer
    x = 414.96

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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.