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Finding the Fourth Proportional to 216.77, 326.47 and 182.75

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Solution

The fourth proportional to 216.77, 326.47 and 182.75 is: 275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.77 : 326.47 = 182.75 : x
  2. Step 2: Convert to fraction form
    216.77/326.47 = 182.75/x
  3. Step 3: Cross multiply
    216.77x = 326.47 × 182.75
  4. Step 4: Simplify right side
    216.77x = 59,662.39
  5. Step 5: Solve for x
    x = 59,662.39/216.77
  6. Step 6: Final answer
    x = 275.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.