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Finding the Fourth Proportional to 380.05, 524.28 and 224.80

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Solution

The fourth proportional to 380.05, 524.28 and 224.80 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.05 : 524.28 = 224.80 : x
  2. Step 2: Convert to fraction form
    380.05/524.28 = 224.80/x
  3. Step 3: Cross multiply
    380.05x = 524.28 × 224.80
  4. Step 4: Simplify right side
    380.05x = 117,858.14
  5. Step 5: Solve for x
    x = 117,858.14/380.05
  6. Step 6: Final answer
    x = 310.11

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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.