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Finding the Fourth Proportional to 259.21, 386.95 and 222.25

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Solution

The fourth proportional to 259.21, 386.95 and 222.25 is: 331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.21 : 386.95 = 222.25 : x
  2. Step 2: Convert to fraction form
    259.21/386.95 = 222.25/x
  3. Step 3: Cross multiply
    259.21x = 386.95 × 222.25
  4. Step 4: Simplify right side
    259.21x = 85,999.64
  5. Step 5: Solve for x
    x = 85,999.64/259.21
  6. Step 6: Final answer
    x = 331.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.