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Finding the Fourth Proportional to 380.66, 525.14 and 223.28

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Solution

The fourth proportional to 380.66, 525.14 and 223.28 is: 308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.66 : 525.14 = 223.28 : x
  2. Step 2: Convert to fraction form
    380.66/525.14 = 223.28/x
  3. Step 3: Cross multiply
    380.66x = 525.14 × 223.28
  4. Step 4: Simplify right side
    380.66x = 117,253.26
  5. Step 5: Solve for x
    x = 117,253.26/380.66
  6. Step 6: Final answer
    x = 308.03

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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.