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Finding the Fourth Proportional to 258.23, 385.52 and 217.22

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Solution

The fourth proportional to 258.23, 385.52 and 217.22 is: 324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.23 : 385.52 = 217.22 : x
  2. Step 2: Convert to fraction form
    258.23/385.52 = 217.22/x
  3. Step 3: Cross multiply
    258.23x = 385.52 × 217.22
  4. Step 4: Simplify right side
    258.23x = 83,739.64
  5. Step 5: Solve for x
    x = 83,739.64/258.23
  6. Step 6: Final answer
    x = 324.29

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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.