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Finding the Fourth Proportional to 380.99, 525.81 and 223.70

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Solution

The fourth proportional to 380.99, 525.81 and 223.70 is: 308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.99 : 525.81 = 223.70 : x
  2. Step 2: Convert to fraction form
    380.99/525.81 = 223.70/x
  3. Step 3: Cross multiply
    380.99x = 525.81 × 223.70
  4. Step 4: Simplify right side
    380.99x = 117,623.70
  5. Step 5: Solve for x
    x = 117,623.70/380.99
  6. Step 6: Final answer
    x = 308.73

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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.