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Finding the Fourth Proportional to 254.44, 379.64 and 233.94

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Solution

The fourth proportional to 254.44, 379.64 and 233.94 is: 349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.44 : 379.64 = 233.94 : x
  2. Step 2: Convert to fraction form
    254.44/379.64 = 233.94/x
  3. Step 3: Cross multiply
    254.44x = 379.64 × 233.94
  4. Step 4: Simplify right side
    254.44x = 88,811.54
  5. Step 5: Solve for x
    x = 88,811.54/254.44
  6. Step 6: Final answer
    x = 349.05

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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.