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Finding the Fourth Proportional to 155.44, 213.05 and 148.96

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Solution

The fourth proportional to 155.44, 213.05 and 148.96 is: 204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.44 : 213.05 = 148.96 : x
  2. Step 2: Convert to fraction form
    155.44/213.05 = 148.96/x
  3. Step 3: Cross multiply
    155.44x = 213.05 × 148.96
  4. Step 4: Simplify right side
    155.44x = 31,735.93
  5. Step 5: Solve for x
    x = 31,735.93/155.44
  6. Step 6: Final answer
    x = 204.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.