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Finding the Fourth Proportional to 381.48, 568.96 and 324.08

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Solution

The fourth proportional to 381.48, 568.96 and 324.08 is: 483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.48 : 568.96 = 324.08 : x
  2. Step 2: Convert to fraction form
    381.48/568.96 = 324.08/x
  3. Step 3: Cross multiply
    381.48x = 568.96 × 324.08
  4. Step 4: Simplify right side
    381.48x = 184,388.56
  5. Step 5: Solve for x
    x = 184,388.56/381.48
  6. Step 6: Final answer
    x = 483.35

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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.