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Finding the Fourth Proportional to 300.92, 448.74 and 295.45

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Solution

The fourth proportional to 300.92, 448.74 and 295.45 is: 440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.92 : 448.74 = 295.45 : x
  2. Step 2: Convert to fraction form
    300.92/448.74 = 295.45/x
  3. Step 3: Cross multiply
    300.92x = 448.74 × 295.45
  4. Step 4: Simplify right side
    300.92x = 132,579.11
  5. Step 5: Solve for x
    x = 132,579.11/300.92
  6. Step 6: Final answer
    x = 440.59

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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.