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Finding the Fourth Proportional to 380.50, 525.12 and 225.28

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Solution

The fourth proportional to 380.50, 525.12 and 225.28 is: 310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.50 : 525.12 = 225.28 : x
  2. Step 2: Convert to fraction form
    380.50/525.12 = 225.28/x
  3. Step 3: Cross multiply
    380.50x = 525.12 × 225.28
  4. Step 4: Simplify right side
    380.50x = 118,299.03
  5. Step 5: Solve for x
    x = 118,299.03/380.50
  6. Step 6: Final answer
    x = 310.90

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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.