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Finding the Fourth Proportional to 258.23, 385.33 and 252.05

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Solution

The fourth proportional to 258.23, 385.33 and 252.05 is: 376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.23 : 385.33 = 252.05 : x
  2. Step 2: Convert to fraction form
    258.23/385.33 = 252.05/x
  3. Step 3: Cross multiply
    258.23x = 385.33 × 252.05
  4. Step 4: Simplify right side
    258.23x = 97,122.43
  5. Step 5: Solve for x
    x = 97,122.43/258.23
  6. Step 6: Final answer
    x = 376.11

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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.