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Finding the Fourth Proportional to 299.58, 451.04 and 274.07

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Solution

The fourth proportional to 299.58, 451.04 and 274.07 is: 412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.58 : 451.04 = 274.07 : x
  2. Step 2: Convert to fraction form
    299.58/451.04 = 274.07/x
  3. Step 3: Cross multiply
    299.58x = 451.04 × 274.07
  4. Step 4: Simplify right side
    299.58x = 123,612.91
  5. Step 5: Solve for x
    x = 123,612.91/299.58
  6. Step 6: Final answer
    x = 412.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.