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Finding the Fourth Proportional to 381.96, 573.12 and 366.48

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Solution

The fourth proportional to 381.96, 573.12 and 366.48 is: 549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.96 : 573.12 = 366.48 : x
  2. Step 2: Convert to fraction form
    381.96/573.12 = 366.48/x
  3. Step 3: Cross multiply
    381.96x = 573.12 × 366.48
  4. Step 4: Simplify right side
    381.96x = 210,037.02
  5. Step 5: Solve for x
    x = 210,037.02/381.96
  6. Step 6: Final answer
    x = 549.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.