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Finding the Fourth Proportional to 301.54, 448.90 and 299.92

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Solution

The fourth proportional to 301.54, 448.90 and 299.92 is: 446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.54 : 448.90 = 299.92 : x
  2. Step 2: Convert to fraction form
    301.54/448.90 = 299.92/x
  3. Step 3: Cross multiply
    301.54x = 448.90 × 299.92
  4. Step 4: Simplify right side
    301.54x = 134,634.09
  5. Step 5: Solve for x
    x = 134,634.09/301.54
  6. Step 6: Final answer
    x = 446.49

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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.