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Finding the Fourth Proportional to 371.17, 512.31 and 231.40

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Solution

The fourth proportional to 371.17, 512.31 and 231.40 is: 319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.17 : 512.31 = 231.40 : x
  2. Step 2: Convert to fraction form
    371.17/512.31 = 231.40/x
  3. Step 3: Cross multiply
    371.17x = 512.31 × 231.40
  4. Step 4: Simplify right side
    371.17x = 118,548.53
  5. Step 5: Solve for x
    x = 118,548.53/371.17
  6. Step 6: Final answer
    x = 319.39

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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.