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Finding the Fourth Proportional to 380.23, 523.97 and 310.16

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Solution

The fourth proportional to 380.23, 523.97 and 310.16 is: 427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.23 : 523.97 = 310.16 : x
  2. Step 2: Convert to fraction form
    380.23/523.97 = 310.16/x
  3. Step 3: Cross multiply
    380.23x = 523.97 × 310.16
  4. Step 4: Simplify right side
    380.23x = 162,515.46
  5. Step 5: Solve for x
    x = 162,515.46/380.23
  6. Step 6: Final answer
    x = 427.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.