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Finding the Fourth Proportional to 259, 357.54 and 200.28

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Solution

The fourth proportional to 259, 357.54 and 200.28 is: 276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259 : 357.54 = 200.28 : x
  2. Step 2: Convert to fraction form
    259/357.54 = 200.28/x
  3. Step 3: Cross multiply
    259x = 357.54 × 200.28
  4. Step 4: Simplify right side
    259x = 71,608.11
  5. Step 5: Solve for x
    x = 71,608.11/259
  6. Step 6: Final answer
    x = 276.48

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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.