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Finding the Fourth Proportional to 423.05, 584.02 and 328.31

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Solution

The fourth proportional to 423.05, 584.02 and 328.31 is: 453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.05 : 584.02 = 328.31 : x
  2. Step 2: Convert to fraction form
    423.05/584.02 = 328.31/x
  3. Step 3: Cross multiply
    423.05x = 584.02 × 328.31
  4. Step 4: Simplify right side
    423.05x = 191,738.79
  5. Step 5: Solve for x
    x = 191,738.79/423.05
  6. Step 6: Final answer
    x = 453.23

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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.