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Finding the Fourth Proportional to 309.26, 465.69 and 228.67

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Solution

The fourth proportional to 309.26, 465.69 and 228.67 is: 344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.26 : 465.69 = 228.67 : x
  2. Step 2: Convert to fraction form
    309.26/465.69 = 228.67/x
  3. Step 3: Cross multiply
    309.26x = 465.69 × 228.67
  4. Step 4: Simplify right side
    309.26x = 106,489.33
  5. Step 5: Solve for x
    x = 106,489.33/309.26
  6. Step 6: Final answer
    x = 344.34

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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.