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Finding the Fourth Proportional to 420.16, 579.66 and 254.26

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Solution

The fourth proportional to 420.16, 579.66 and 254.26 is: 350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.16 : 579.66 = 254.26 : x
  2. Step 2: Convert to fraction form
    420.16/579.66 = 254.26/x
  3. Step 3: Cross multiply
    420.16x = 579.66 × 254.26
  4. Step 4: Simplify right side
    420.16x = 147,384.35
  5. Step 5: Solve for x
    x = 147,384.35/420.16
  6. Step 6: Final answer
    x = 350.78

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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.