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Finding the Fourth Proportional to 371.18, 512.64 and 336.20

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Solution

The fourth proportional to 371.18, 512.64 and 336.20 is: 464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.18 : 512.64 = 336.20 : x
  2. Step 2: Convert to fraction form
    371.18/512.64 = 336.20/x
  3. Step 3: Cross multiply
    371.18x = 512.64 × 336.20
  4. Step 4: Simplify right side
    371.18x = 172,349.57
  5. Step 5: Solve for x
    x = 172,349.57/371.18
  6. Step 6: Final answer
    x = 464.33

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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.