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Finding the Fourth Proportional to 254.28, 351.24 and 189.12

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Solution

The fourth proportional to 254.28, 351.24 and 189.12 is: 261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.28 : 351.24 = 189.12 : x
  2. Step 2: Convert to fraction form
    254.28/351.24 = 189.12/x
  3. Step 3: Cross multiply
    254.28x = 351.24 × 189.12
  4. Step 4: Simplify right side
    254.28x = 66,426.51
  5. Step 5: Solve for x
    x = 66,426.51/254.28
  6. Step 6: Final answer
    x = 261.23

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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.