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Finding the Fourth Proportional to 418.64, 628.08 and 254.24

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Solution

The fourth proportional to 418.64, 628.08 and 254.24 is: 381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.64 : 628.08 = 254.24 : x
  2. Step 2: Convert to fraction form
    418.64/628.08 = 254.24/x
  3. Step 3: Cross multiply
    418.64x = 628.08 × 254.24
  4. Step 4: Simplify right side
    418.64x = 159,683.06
  5. Step 5: Solve for x
    x = 159,683.06/418.64
  6. Step 6: Final answer
    x = 381.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.