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Finding the Fourth Proportional to 412.24, 568.20 and 329.08

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Solution

The fourth proportional to 412.24, 568.20 and 329.08 is: 453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.24 : 568.20 = 329.08 : x
  2. Step 2: Convert to fraction form
    412.24/568.20 = 329.08/x
  3. Step 3: Cross multiply
    412.24x = 568.20 × 329.08
  4. Step 4: Simplify right side
    412.24x = 186,983.26
  5. Step 5: Solve for x
    x = 186,983.26/412.24
  6. Step 6: Final answer
    x = 453.58

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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.