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Finding the Fourth Proportional to 259.07, 356.87 and 203.78

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Solution

The fourth proportional to 259.07, 356.87 and 203.78 is: 280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.07 : 356.87 = 203.78 : x
  2. Step 2: Convert to fraction form
    259.07/356.87 = 203.78/x
  3. Step 3: Cross multiply
    259.07x = 356.87 × 203.78
  4. Step 4: Simplify right side
    259.07x = 72,724.37
  5. Step 5: Solve for x
    x = 72,724.37/259.07
  6. Step 6: Final answer
    x = 280.72

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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.