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Finding the Fourth Proportional to 309.82, 460.74 and 300.09

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Solution

The fourth proportional to 309.82, 460.74 and 300.09 is: 446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.82 : 460.74 = 300.09 : x
  2. Step 2: Convert to fraction form
    309.82/460.74 = 300.09/x
  3. Step 3: Cross multiply
    309.82x = 460.74 × 300.09
  4. Step 4: Simplify right side
    309.82x = 138,263.47
  5. Step 5: Solve for x
    x = 138,263.47/309.82
  6. Step 6: Final answer
    x = 446.27

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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.