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Finding the Fourth Proportional to 275.99, 380.75 and 182.84

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Solution

The fourth proportional to 275.99, 380.75 and 182.84 is: 252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.99 : 380.75 = 182.84 : x
  2. Step 2: Convert to fraction form
    275.99/380.75 = 182.84/x
  3. Step 3: Cross multiply
    275.99x = 380.75 × 182.84
  4. Step 4: Simplify right side
    275.99x = 69,617.74
  5. Step 5: Solve for x
    x = 69,617.74/275.99
  6. Step 6: Final answer
    x = 252.25

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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.