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Finding the Fourth Proportional to 218.55, 327.58 and 141.67

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Solution

The fourth proportional to 218.55, 327.58 and 141.67 is: 212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.55 : 327.58 = 141.67 : x
  2. Step 2: Convert to fraction form
    218.55/327.58 = 141.67/x
  3. Step 3: Cross multiply
    218.55x = 327.58 × 141.67
  4. Step 4: Simplify right side
    218.55x = 46,409.11
  5. Step 5: Solve for x
    x = 46,409.11/218.55
  6. Step 6: Final answer
    x = 212.35

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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.