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Finding the Fourth Proportional to 254.57, 380.38 and 223.32

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Solution

The fourth proportional to 254.57, 380.38 and 223.32 is: 333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.57 : 380.38 = 223.32 : x
  2. Step 2: Convert to fraction form
    254.57/380.38 = 223.32/x
  3. Step 3: Cross multiply
    254.57x = 380.38 × 223.32
  4. Step 4: Simplify right side
    254.57x = 84,945.90
  5. Step 5: Solve for x
    x = 84,945.90/254.57
  6. Step 6: Final answer
    x = 333.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.