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Finding the Fourth Proportional to 420.08, 579.75 and 254.32

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Solution

The fourth proportional to 420.08, 579.75 and 254.32 is: 350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.08 : 579.75 = 254.32 : x
  2. Step 2: Convert to fraction form
    420.08/579.75 = 254.32/x
  3. Step 3: Cross multiply
    420.08x = 579.75 × 254.32
  4. Step 4: Simplify right side
    420.08x = 147,442.02
  5. Step 5: Solve for x
    x = 147,442.02/420.08
  6. Step 6: Final answer
    x = 350.99

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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.