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Finding the Fourth Proportional to 380.60, 525.23 and 205.95

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Solution

The fourth proportional to 380.60, 525.23 and 205.95 is: 284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.60 : 525.23 = 205.95 : x
  2. Step 2: Convert to fraction form
    380.60/525.23 = 205.95/x
  3. Step 3: Cross multiply
    380.60x = 525.23 × 205.95
  4. Step 4: Simplify right side
    380.60x = 108,167.98
  5. Step 5: Solve for x
    x = 108,167.98/380.60
  6. Step 6: Final answer
    x = 284.20

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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.