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Finding the Fourth Proportional to 254.02, 381.30 and 213.88

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Solution

The fourth proportional to 254.02, 381.30 and 213.88 is: 321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.02 : 381.30 = 213.88 : x
  2. Step 2: Convert to fraction form
    254.02/381.30 = 213.88/x
  3. Step 3: Cross multiply
    254.02x = 381.30 × 213.88
  4. Step 4: Simplify right side
    254.02x = 81,552.44
  5. Step 5: Solve for x
    x = 81,552.44/254.02
  6. Step 6: Final answer
    x = 321.05

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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.