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Finding the Fourth Proportional to 148.98, 222.99 and 80.34

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Solution

The fourth proportional to 148.98, 222.99 and 80.34 is: 120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.98 : 222.99 = 80.34 : x
  2. Step 2: Convert to fraction form
    148.98/222.99 = 80.34/x
  3. Step 3: Cross multiply
    148.98x = 222.99 × 80.34
  4. Step 4: Simplify right side
    148.98x = 17,915.02
  5. Step 5: Solve for x
    x = 17,915.02/148.98
  6. Step 6: Final answer
    x = 120.25

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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.