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Finding the Fourth Proportional to 371.68, 513 and 309.34

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Solution

The fourth proportional to 371.68, 513 and 309.34 is: 426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.68 : 513 = 309.34 : x
  2. Step 2: Convert to fraction form
    371.68/513 = 309.34/x
  3. Step 3: Cross multiply
    371.68x = 513 × 309.34
  4. Step 4: Simplify right side
    371.68x = 158,691.42
  5. Step 5: Solve for x
    x = 158,691.42/371.68
  6. Step 6: Final answer
    x = 426.96

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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.