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Finding the Fourth Proportional to 309.69, 465.14 and 301.19

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Solution

The fourth proportional to 309.69, 465.14 and 301.19 is: 452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.69 : 465.14 = 301.19 : x
  2. Step 2: Convert to fraction form
    309.69/465.14 = 301.19/x
  3. Step 3: Cross multiply
    309.69x = 465.14 × 301.19
  4. Step 4: Simplify right side
    309.69x = 140,093.94
  5. Step 5: Solve for x
    x = 140,093.94/309.69
  6. Step 6: Final answer
    x = 452.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.