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Finding the Fourth Proportional to 371.86, 512.83 and 267.64

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Solution

The fourth proportional to 371.86, 512.83 and 267.64 is: 369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.86 : 512.83 = 267.64 : x
  2. Step 2: Convert to fraction form
    371.86/512.83 = 267.64/x
  3. Step 3: Cross multiply
    371.86x = 512.83 × 267.64
  4. Step 4: Simplify right side
    371.86x = 137,252.87
  5. Step 5: Solve for x
    x = 137,252.87/371.86
  6. Step 6: Final answer
    x = 369.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.