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Finding the Fourth Proportional to 258.33, 389.29 and 234.03

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Solution

The fourth proportional to 258.33, 389.29 and 234.03 is: 352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.33 : 389.29 = 234.03 : x
  2. Step 2: Convert to fraction form
    258.33/389.29 = 234.03/x
  3. Step 3: Cross multiply
    258.33x = 389.29 × 234.03
  4. Step 4: Simplify right side
    258.33x = 91,105.54
  5. Step 5: Solve for x
    x = 91,105.54/258.33
  6. Step 6: Final answer
    x = 352.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.