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Finding the Fourth Proportional to 371.63, 513.10 and 231.81

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Solution

The fourth proportional to 371.63, 513.10 and 231.81 is: 320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.63 : 513.10 = 231.81 : x
  2. Step 2: Convert to fraction form
    371.63/513.10 = 231.81/x
  3. Step 3: Cross multiply
    371.63x = 513.10 × 231.81
  4. Step 4: Simplify right side
    371.63x = 118,940.08
  5. Step 5: Solve for x
    x = 118,940.08/371.63
  6. Step 6: Final answer
    x = 320.05

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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.