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Finding the Fourth Proportional to 309.26, 465.70 and 228.66

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Solution

The fourth proportional to 309.26, 465.70 and 228.66 is: 344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.26 : 465.70 = 228.66 : x
  2. Step 2: Convert to fraction form
    309.26/465.70 = 228.66/x
  3. Step 3: Cross multiply
    309.26x = 465.70 × 228.66
  4. Step 4: Simplify right side
    309.26x = 106,486.96
  5. Step 5: Solve for x
    x = 106,486.96/309.26
  6. Step 6: Final answer
    x = 344.33

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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.