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Finding the Fourth Proportional to 219.95, 329.88 and 73.80

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Solution

The fourth proportional to 219.95, 329.88 and 73.80 is: 110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.95 : 329.88 = 73.80 : x
  2. Step 2: Convert to fraction form
    219.95/329.88 = 73.80/x
  3. Step 3: Cross multiply
    219.95x = 329.88 × 73.80
  4. Step 4: Simplify right side
    219.95x = 24,344.32
  5. Step 5: Solve for x
    x = 24,344.32/219.95
  6. Step 6: Final answer
    x = 110.68

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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.