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Finding the Fourth Proportional to 216.78, 326.46 and 182.76

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Solution

The fourth proportional to 216.78, 326.46 and 182.76 is: 275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.78 : 326.46 = 182.76 : x
  2. Step 2: Convert to fraction form
    216.78/326.46 = 182.76/x
  3. Step 3: Cross multiply
    216.78x = 326.46 × 182.76
  4. Step 4: Simplify right side
    216.78x = 59,663.83
  5. Step 5: Solve for x
    x = 59,663.83/216.78
  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.