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Finding the Fourth Proportional to 371.08, 511.72 and 344.23

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Solution

The fourth proportional to 371.08, 511.72 and 344.23 is: 474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.08 : 511.72 = 344.23 : x
  2. Step 2: Convert to fraction form
    371.08/511.72 = 344.23/x
  3. Step 3: Cross multiply
    371.08x = 511.72 × 344.23
  4. Step 4: Simplify right side
    371.08x = 176,149.38
  5. Step 5: Solve for x
    x = 176,149.38/371.08
  6. Step 6: Final answer
    x = 474.69

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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.