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Finding the Fourth Proportional to 312.05, 465.82 and 300.51

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Solution

The fourth proportional to 312.05, 465.82 and 300.51 is: 448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.05 : 465.82 = 300.51 : x
  2. Step 2: Convert to fraction form
    312.05/465.82 = 300.51/x
  3. Step 3: Cross multiply
    312.05x = 465.82 × 300.51
  4. Step 4: Simplify right side
    312.05x = 139,982.82
  5. Step 5: Solve for x
    x = 139,982.82/312.05
  6. Step 6: Final answer
    x = 448.59

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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.