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Finding the Fourth Proportional to 148.89, 205.23 and 112.05

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Solution

The fourth proportional to 148.89, 205.23 and 112.05 is: 154.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.89 : 205.23 = 112.05 : x
  2. Step 2: Convert to fraction form
    148.89/205.23 = 112.05/x
  3. Step 3: Cross multiply
    148.89x = 205.23 × 112.05
  4. Step 4: Simplify right side
    148.89x = 22,996.02
  5. Step 5: Solve for x
    x = 22,996.02/148.89
  6. Step 6: Final answer
    x = 154.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.