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Finding the Fourth Proportional to 371.05, 509.31 and 328.68

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Solution

The fourth proportional to 371.05, 509.31 and 328.68 is: 451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.05 : 509.31 = 328.68 : x
  2. Step 2: Convert to fraction form
    371.05/509.31 = 328.68/x
  3. Step 3: Cross multiply
    371.05x = 509.31 × 328.68
  4. Step 4: Simplify right side
    371.05x = 167,400.01
  5. Step 5: Solve for x
    x = 167,400.01/371.05
  6. Step 6: Final answer
    x = 451.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.