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Finding the Fourth Proportional to 420.69, 580.62 and 246.03

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Solution

The fourth proportional to 420.69, 580.62 and 246.03 is: 339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.69 : 580.62 = 246.03 : x
  2. Step 2: Convert to fraction form
    420.69/580.62 = 246.03/x
  3. Step 3: Cross multiply
    420.69x = 580.62 × 246.03
  4. Step 4: Simplify right side
    420.69x = 142,849.94
  5. Step 5: Solve for x
    x = 142,849.94/420.69
  6. Step 6: Final answer
    x = 339.56

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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.