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Finding the Fourth Proportional to 254.42, 350.24 and 188.80

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Solution

The fourth proportional to 254.42, 350.24 and 188.80 is: 259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.42 : 350.24 = 188.80 : x
  2. Step 2: Convert to fraction form
    254.42/350.24 = 188.80/x
  3. Step 3: Cross multiply
    254.42x = 350.24 × 188.80
  4. Step 4: Simplify right side
    254.42x = 66,125.31
  5. Step 5: Solve for x
    x = 66,125.31/254.42
  6. Step 6: Final answer
    x = 259.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.