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Finding the Fourth Proportional to 327.51, 487.25 and 308.07

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Solution

The fourth proportional to 327.51, 487.25 and 308.07 is: 458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.51 : 487.25 = 308.07 : x
  2. Step 2: Convert to fraction form
    327.51/487.25 = 308.07/x
  3. Step 3: Cross multiply
    327.51x = 487.25 × 308.07
  4. Step 4: Simplify right side
    327.51x = 150,106.72
  5. Step 5: Solve for x
    x = 150,106.72/327.51
  6. Step 6: Final answer
    x = 458.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.