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Finding the Fourth Proportional to 381.18, 570.84 and 370.22

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Solution

The fourth proportional to 381.18, 570.84 and 370.22 is: 554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.18 : 570.84 = 370.22 : x
  2. Step 2: Convert to fraction form
    381.18/570.84 = 370.22/x
  3. Step 3: Cross multiply
    381.18x = 570.84 × 370.22
  4. Step 4: Simplify right side
    381.18x = 211,336.38
  5. Step 5: Solve for x
    x = 211,336.38/381.18
  6. Step 6: Final answer
    x = 554.43

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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.