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Finding the Fourth Proportional to 219.35, 328.53 and 109.49

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Solution

The fourth proportional to 219.35, 328.53 and 109.49 is: 163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.35 : 328.53 = 109.49 : x
  2. Step 2: Convert to fraction form
    219.35/328.53 = 109.49/x
  3. Step 3: Cross multiply
    219.35x = 328.53 × 109.49
  4. Step 4: Simplify right side
    219.35x = 35,969.11
  5. Step 5: Solve for x
    x = 35,969.11/219.35
  6. Step 6: Final answer
    x = 163.98

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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.