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Finding the Fourth Proportional to 148.68, 222.96 and 76.38

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Solution

The fourth proportional to 148.68, 222.96 and 76.38 is: 114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.68 : 222.96 = 76.38 : x
  2. Step 2: Convert to fraction form
    148.68/222.96 = 76.38/x
  3. Step 3: Cross multiply
    148.68x = 222.96 × 76.38
  4. Step 4: Simplify right side
    148.68x = 17,029.68
  5. Step 5: Solve for x
    x = 17,029.68/148.68
  6. Step 6: Final answer
    x = 114.54

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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.