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Finding the Fourth Proportional to 380.58, 525.22 and 223.18

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Solution

The fourth proportional to 380.58, 525.22 and 223.18 is: 308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.58 : 525.22 = 223.18 : x
  2. Step 2: Convert to fraction form
    380.58/525.22 = 223.18/x
  3. Step 3: Cross multiply
    380.58x = 525.22 × 223.18
  4. Step 4: Simplify right side
    380.58x = 117,218.60
  5. Step 5: Solve for x
    x = 117,218.60/380.58
  6. Step 6: Final answer
    x = 308.00

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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.