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Finding the Fourth Proportional to 299.52, 411.08 and 271.86

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Solution

The fourth proportional to 299.52, 411.08 and 271.86 is: 373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.52 : 411.08 = 271.86 : x
  2. Step 2: Convert to fraction form
    299.52/411.08 = 271.86/x
  3. Step 3: Cross multiply
    299.52x = 411.08 × 271.86
  4. Step 4: Simplify right side
    299.52x = 111,753.31
  5. Step 5: Solve for x
    x = 111,753.31/299.52
  6. Step 6: Final answer
    x = 373.10

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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.