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Finding the Fourth Proportional to 182.49, 251.84 and 103.80

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Solution

The fourth proportional to 182.49, 251.84 and 103.80 is: 143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.49 : 251.84 = 103.80 : x
  2. Step 2: Convert to fraction form
    182.49/251.84 = 103.80/x
  3. Step 3: Cross multiply
    182.49x = 251.84 × 103.80
  4. Step 4: Simplify right side
    182.49x = 26,140.99
  5. Step 5: Solve for x
    x = 26,140.99/182.49
  6. Step 6: Final answer
    x = 143.25

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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.