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Finding the Fourth Proportional to 218.76, 325.85 and 218.34

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Solution

The fourth proportional to 218.76, 325.85 and 218.34 is: 325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.76 : 325.85 = 218.34 : x
  2. Step 2: Convert to fraction form
    218.76/325.85 = 218.34/x
  3. Step 3: Cross multiply
    218.76x = 325.85 × 218.34
  4. Step 4: Simplify right side
    218.76x = 71,145.00
  5. Step 5: Solve for x
    x = 71,145.00/218.76
  6. Step 6: Final answer
    x = 325.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.