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Finding the Fourth Proportional to 298.84, 409.76 and 271.12

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Solution

The fourth proportional to 298.84, 409.76 and 271.12 is: 371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.84 : 409.76 = 271.12 : x
  2. Step 2: Convert to fraction form
    298.84/409.76 = 271.12/x
  3. Step 3: Cross multiply
    298.84x = 409.76 × 271.12
  4. Step 4: Simplify right side
    298.84x = 111,094.13
  5. Step 5: Solve for x
    x = 111,094.13/298.84
  6. Step 6: Final answer
    x = 371.75

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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.