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Finding the Fourth Proportional to 371.13, 512.37 and 283.96

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Solution

The fourth proportional to 371.13, 512.37 and 283.96 is: 392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.13 : 512.37 = 283.96 : x
  2. Step 2: Convert to fraction form
    371.13/512.37 = 283.96/x
  3. Step 3: Cross multiply
    371.13x = 512.37 × 283.96
  4. Step 4: Simplify right side
    371.13x = 145,492.59
  5. Step 5: Solve for x
    x = 145,492.59/371.13
  6. Step 6: Final answer
    x = 392.03

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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.