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Finding the Fourth Proportional to 218.67, 328.02 and 103.08

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Solution

The fourth proportional to 218.67, 328.02 and 103.08 is: 154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.67 : 328.02 = 103.08 : x
  2. Step 2: Convert to fraction form
    218.67/328.02 = 103.08/x
  3. Step 3: Cross multiply
    218.67x = 328.02 × 103.08
  4. Step 4: Simplify right side
    218.67x = 33,812.30
  5. Step 5: Solve for x
    x = 33,812.30/218.67
  6. Step 6: Final answer
    x = 154.63

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