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Finding the Fourth Proportional to 427.36, 588.62 and 328.92

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Solution

The fourth proportional to 427.36, 588.62 and 328.92 is: 453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.36 : 588.62 = 328.92 : x
  2. Step 2: Convert to fraction form
    427.36/588.62 = 328.92/x
  3. Step 3: Cross multiply
    427.36x = 588.62 × 328.92
  4. Step 4: Simplify right side
    427.36x = 193,608.89
  5. Step 5: Solve for x
    x = 193,608.89/427.36
  6. Step 6: Final answer
    x = 453.03

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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.