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Finding the Fourth Proportional to 380.25, 524.48 and 301.41

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Solution

The fourth proportional to 380.25, 524.48 and 301.41 is: 415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.25 : 524.48 = 301.41 : x
  2. Step 2: Convert to fraction form
    380.25/524.48 = 301.41/x
  3. Step 3: Cross multiply
    380.25x = 524.48 × 301.41
  4. Step 4: Simplify right side
    380.25x = 158,082.01
  5. Step 5: Solve for x
    x = 158,082.01/380.25
  6. Step 6: Final answer
    x = 415.73

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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.