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Finding the Fourth Proportional to 254.45, 351.65 and 192.26

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Solution

The fourth proportional to 254.45, 351.65 and 192.26 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.45 : 351.65 = 192.26 : x
  2. Step 2: Convert to fraction form
    254.45/351.65 = 192.26/x
  3. Step 3: Cross multiply
    254.45x = 351.65 × 192.26
  4. Step 4: Simplify right side
    254.45x = 67,608.23
  5. Step 5: Solve for x
    x = 67,608.23/254.45
  6. Step 6: Final answer
    x = 265.70

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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.