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Finding the Fourth Proportional to 259.22, 356.90 and 250.94

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Solution

The fourth proportional to 259.22, 356.90 and 250.94 is: 345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.22 : 356.90 = 250.94 : x
  2. Step 2: Convert to fraction form
    259.22/356.90 = 250.94/x
  3. Step 3: Cross multiply
    259.22x = 356.90 × 250.94
  4. Step 4: Simplify right side
    259.22x = 89,560.49
  5. Step 5: Solve for x
    x = 89,560.49/259.22
  6. Step 6: Final answer
    x = 345.50

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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.