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Finding the Fourth Proportional to 254.80, 349.67 and 238.60

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Solution

The fourth proportional to 254.80, 349.67 and 238.60 is: 327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.80 : 349.67 = 238.60 : x
  2. Step 2: Convert to fraction form
    254.80/349.67 = 238.60/x
  3. Step 3: Cross multiply
    254.80x = 349.67 × 238.60
  4. Step 4: Simplify right side
    254.80x = 83,431.26
  5. Step 5: Solve for x
    x = 83,431.26/254.80
  6. Step 6: Final answer
    x = 327.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.