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Finding the Fourth Proportional to 380.68, 525.40 and 223.34

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Solution

The fourth proportional to 380.68, 525.40 and 223.34 is: 308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.68 : 525.40 = 223.34 : x
  2. Step 2: Convert to fraction form
    380.68/525.40 = 223.34/x
  3. Step 3: Cross multiply
    380.68x = 525.40 × 223.34
  4. Step 4: Simplify right side
    380.68x = 117,342.84
  5. Step 5: Solve for x
    x = 117,342.84/380.68
  6. Step 6: Final answer
    x = 308.25

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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.