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Finding the Fourth Proportional to 216.76, 325.78 and 102.84

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Solution

The fourth proportional to 216.76, 325.78 and 102.84 is: 154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.76 : 325.78 = 102.84 : x
  2. Step 2: Convert to fraction form
    216.76/325.78 = 102.84/x
  3. Step 3: Cross multiply
    216.76x = 325.78 × 102.84
  4. Step 4: Simplify right side
    216.76x = 33,503.22
  5. Step 5: Solve for x
    x = 33,503.22/216.76
  6. Step 6: Final answer
    x = 154.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.