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Finding the Fourth Proportional to 298.72, 409.96 and 274.08

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Solution

The fourth proportional to 298.72, 409.96 and 274.08 is: 376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.72 : 409.96 = 274.08 : x
  2. Step 2: Convert to fraction form
    298.72/409.96 = 274.08/x
  3. Step 3: Cross multiply
    298.72x = 409.96 × 274.08
  4. Step 4: Simplify right side
    298.72x = 112,361.84
  5. Step 5: Solve for x
    x = 112,361.84/298.72
  6. Step 6: Final answer
    x = 376.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.