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Finding the Fourth Proportional to 254.80, 379.94 and 233.20

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Solution

The fourth proportional to 254.80, 379.94 and 233.20 is: 347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.80 : 379.94 = 233.20 : x
  2. Step 2: Convert to fraction form
    254.80/379.94 = 233.20/x
  3. Step 3: Cross multiply
    254.80x = 379.94 × 233.20
  4. Step 4: Simplify right side
    254.80x = 88,602.01
  5. Step 5: Solve for x
    x = 88,602.01/254.80
  6. Step 6: Final answer
    x = 347.73

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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.