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Finding the Fourth Proportional to 427.39, 589.21 and 327.76

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Solution

The fourth proportional to 427.39, 589.21 and 327.76 is: 451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.39 : 589.21 = 327.76 : x
  2. Step 2: Convert to fraction form
    427.39/589.21 = 327.76/x
  3. Step 3: Cross multiply
    427.39x = 589.21 × 327.76
  4. Step 4: Simplify right side
    427.39x = 193,117.18
  5. Step 5: Solve for x
    x = 193,117.18/427.39
  6. Step 6: Final answer
    x = 451.85

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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.