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Finding the Fourth Proportional to 299.46, 445.92 and 288.54

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Solution

The fourth proportional to 299.46, 445.92 and 288.54 is: 429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.46 : 445.92 = 288.54 : x
  2. Step 2: Convert to fraction form
    299.46/445.92 = 288.54/x
  3. Step 3: Cross multiply
    299.46x = 445.92 × 288.54
  4. Step 4: Simplify right side
    299.46x = 128,665.76
  5. Step 5: Solve for x
    x = 128,665.76/299.46
  6. Step 6: Final answer
    x = 429.66

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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.