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Finding the Fourth Proportional to 371.19, 512.48 and 231.51

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Solution

The fourth proportional to 371.19, 512.48 and 231.51 is: 319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.19 : 512.48 = 231.51 : x
  2. Step 2: Convert to fraction form
    371.19/512.48 = 231.51/x
  3. Step 3: Cross multiply
    371.19x = 512.48 × 231.51
  4. Step 4: Simplify right side
    371.19x = 118,643.09
  5. Step 5: Solve for x
    x = 118,643.09/371.19
  6. Step 6: Final answer
    x = 319.63

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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.