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Finding the Fourth Proportional to 300.92, 448.98 and 257.09

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Solution

The fourth proportional to 300.92, 448.98 and 257.09 is: 383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.92 : 448.98 = 257.09 : x
  2. Step 2: Convert to fraction form
    300.92/448.98 = 257.09/x
  3. Step 3: Cross multiply
    300.92x = 448.98 × 257.09
  4. Step 4: Simplify right side
    300.92x = 115,426.02
  5. Step 5: Solve for x
    x = 115,426.02/300.92
  6. Step 6: Final answer
    x = 383.58

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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.