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Finding the Fourth Proportional to 254.31, 352.46 and 242.43

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Solution

The fourth proportional to 254.31, 352.46 and 242.43 is: 335.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.31 : 352.46 = 242.43 : x
  2. Step 2: Convert to fraction form
    254.31/352.46 = 242.43/x
  3. Step 3: Cross multiply
    254.31x = 352.46 × 242.43
  4. Step 4: Simplify right side
    254.31x = 85,445.67
  5. Step 5: Solve for x
    x = 85,445.67/254.31
  6. Step 6: Final answer
    x = 335.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.