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Finding the Fourth Proportional to 258.21, 385.46 and 221.25

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Solution

The fourth proportional to 258.21, 385.46 and 221.25 is: 330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.21 : 385.46 = 221.25 : x
  2. Step 2: Convert to fraction form
    258.21/385.46 = 221.25/x
  3. Step 3: Cross multiply
    258.21x = 385.46 × 221.25
  4. Step 4: Simplify right side
    258.21x = 85,282.75
  5. Step 5: Solve for x
    x = 85,282.75/258.21
  6. Step 6: Final answer
    x = 330.28

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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.