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Finding the Fourth Proportional to 371.94, 512.22 and 370.83

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Solution

The fourth proportional to 371.94, 512.22 and 370.83 is: 510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.94 : 512.22 = 370.83 : x
  2. Step 2: Convert to fraction form
    371.94/512.22 = 370.83/x
  3. Step 3: Cross multiply
    371.94x = 512.22 × 370.83
  4. Step 4: Simplify right side
    371.94x = 189,946.54
  5. Step 5: Solve for x
    x = 189,946.54/371.94
  6. Step 6: Final answer
    x = 510.69

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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.