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Finding the Fourth Proportional to 254.33, 380.81 and 209.22

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Solution

The fourth proportional to 254.33, 380.81 and 209.22 is: 313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.33 : 380.81 = 209.22 : x
  2. Step 2: Convert to fraction form
    254.33/380.81 = 209.22/x
  3. Step 3: Cross multiply
    254.33x = 380.81 × 209.22
  4. Step 4: Simplify right side
    254.33x = 79,675.02
  5. Step 5: Solve for x
    x = 79,675.02/254.33
  6. Step 6: Final answer
    x = 313.27

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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.