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Finding the Fourth Proportional to 371.53, 512.67 and 222.18

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Solution

The fourth proportional to 371.53, 512.67 and 222.18 is: 306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.53 : 512.67 = 222.18 : x
  2. Step 2: Convert to fraction form
    371.53/512.67 = 222.18/x
  3. Step 3: Cross multiply
    371.53x = 512.67 × 222.18
  4. Step 4: Simplify right side
    371.53x = 113,905.02
  5. Step 5: Solve for x
    x = 113,905.02/371.53
  6. Step 6: Final answer
    x = 306.58

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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.