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Finding the Fourth Proportional to 420.12, 579.69 and 254.27

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Solution

The fourth proportional to 420.12, 579.69 and 254.27 is: 350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.12 : 579.69 = 254.27 : x
  2. Step 2: Convert to fraction form
    420.12/579.69 = 254.27/x
  3. Step 3: Cross multiply
    420.12x = 579.69 × 254.27
  4. Step 4: Simplify right side
    420.12x = 147,399.23
  5. Step 5: Solve for x
    x = 147,399.23/420.12
  6. Step 6: Final answer
    x = 350.85

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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.