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Finding the Fourth Proportional to 380.45, 524.99 and 223.09

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Solution

The fourth proportional to 380.45, 524.99 and 223.09 is: 307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.45 : 524.99 = 223.09 : x
  2. Step 2: Convert to fraction form
    380.45/524.99 = 223.09/x
  3. Step 3: Cross multiply
    380.45x = 524.99 × 223.09
  4. Step 4: Simplify right side
    380.45x = 117,120.02
  5. Step 5: Solve for x
    x = 117,120.02/380.45
  6. Step 6: Final answer
    x = 307.85

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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.