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Finding the Fourth Proportional to 371.55, 513.23 and 285.29

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Solution

The fourth proportional to 371.55, 513.23 and 285.29 is: 394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.55 : 513.23 = 285.29 : x
  2. Step 2: Convert to fraction form
    371.55/513.23 = 285.29/x
  3. Step 3: Cross multiply
    371.55x = 513.23 × 285.29
  4. Step 4: Simplify right side
    371.55x = 146,415.39
  5. Step 5: Solve for x
    x = 146,415.39/371.55
  6. Step 6: Final answer
    x = 394.07

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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.