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Finding the Fourth Proportional to 216.59, 326.35 and 178.92

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Solution

The fourth proportional to 216.59, 326.35 and 178.92 is: 269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.59 : 326.35 = 178.92 : x
  2. Step 2: Convert to fraction form
    216.59/326.35 = 178.92/x
  3. Step 3: Cross multiply
    216.59x = 326.35 × 178.92
  4. Step 4: Simplify right side
    216.59x = 58,390.36
  5. Step 5: Solve for x
    x = 58,390.36/216.59
  6. Step 6: Final answer
    x = 269.59

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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.