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Finding the Fourth Proportional to 382.02, 571.61 and 228.03

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Solution

The fourth proportional to 382.02, 571.61 and 228.03 is: 341.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.02 : 571.61 = 228.03 : x
  2. Step 2: Convert to fraction form
    382.02/571.61 = 228.03/x
  3. Step 3: Cross multiply
    382.02x = 571.61 × 228.03
  4. Step 4: Simplify right side
    382.02x = 130,340.23
  5. Step 5: Solve for x
    x = 130,340.23/382.02
  6. Step 6: Final answer
    x = 341.19

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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.