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Finding the Fourth Proportional to 254.56, 351.20 and 156.15

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Solution

The fourth proportional to 254.56, 351.20 and 156.15 is: 215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.56 : 351.20 = 156.15 : x
  2. Step 2: Convert to fraction form
    254.56/351.20 = 156.15/x
  3. Step 3: Cross multiply
    254.56x = 351.20 × 156.15
  4. Step 4: Simplify right side
    254.56x = 54,838.73
  5. Step 5: Solve for x
    x = 54,838.73/254.56
  6. Step 6: Final answer
    x = 215.42

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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.