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Finding the Fourth Proportional to 380.57, 522.17 and 370.23

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Solution

The fourth proportional to 380.57, 522.17 and 370.23 is: 507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.57 : 522.17 = 370.23 : x
  2. Step 2: Convert to fraction form
    380.57/522.17 = 370.23/x
  3. Step 3: Cross multiply
    380.57x = 522.17 × 370.23
  4. Step 4: Simplify right side
    380.57x = 193,321.15
  5. Step 5: Solve for x
    x = 193,321.15/380.57
  6. Step 6: Final answer
    x = 507.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.