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Finding the Fourth Proportional to 380.30, 524.82 and 223.03

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Solution

The fourth proportional to 380.30, 524.82 and 223.03 is: 307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.30 : 524.82 = 223.03 : x
  2. Step 2: Convert to fraction form
    380.30/524.82 = 223.03/x
  3. Step 3: Cross multiply
    380.30x = 524.82 × 223.03
  4. Step 4: Simplify right side
    380.30x = 117,048.46
  5. Step 5: Solve for x
    x = 117,048.46/380.30
  6. Step 6: Final answer
    x = 307.78

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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.