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Finding the Fourth Proportional to 382.57, 573.18 and 228.04

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Solution

The fourth proportional to 382.57, 573.18 and 228.04 is: 341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.57 : 573.18 = 228.04 : x
  2. Step 2: Convert to fraction form
    382.57/573.18 = 228.04/x
  3. Step 3: Cross multiply
    382.57x = 573.18 × 228.04
  4. Step 4: Simplify right side
    382.57x = 130,707.97
  5. Step 5: Solve for x
    x = 130,707.97/382.57
  6. Step 6: Final answer
    x = 341.66

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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.