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Finding the Fourth Proportional to 380.20, 525.70 and 331.60

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Solution

The fourth proportional to 380.20, 525.70 and 331.60 is: 458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.20 : 525.70 = 331.60 : x
  2. Step 2: Convert to fraction form
    380.20/525.70 = 331.60/x
  3. Step 3: Cross multiply
    380.20x = 525.70 × 331.60
  4. Step 4: Simplify right side
    380.20x = 174,322.12
  5. Step 5: Solve for x
    x = 174,322.12/380.20
  6. Step 6: Final answer
    x = 458.50

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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.