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Finding the Fourth Proportional to 371.12, 511.38 and 287.55

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Solution

The fourth proportional to 371.12, 511.38 and 287.55 is: 396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.12 : 511.38 = 287.55 : x
  2. Step 2: Convert to fraction form
    371.12/511.38 = 287.55/x
  3. Step 3: Cross multiply
    371.12x = 511.38 × 287.55
  4. Step 4: Simplify right side
    371.12x = 147,047.32
  5. Step 5: Solve for x
    x = 147,047.32/371.12
  6. Step 6: Final answer
    x = 396.23

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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.