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Finding the Fourth Proportional to 148.14, 223.06 and 107.84

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Solution

The fourth proportional to 148.14, 223.06 and 107.84 is: 162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.14 : 223.06 = 107.84 : x
  2. Step 2: Convert to fraction form
    148.14/223.06 = 107.84/x
  3. Step 3: Cross multiply
    148.14x = 223.06 × 107.84
  4. Step 4: Simplify right side
    148.14x = 24,054.79
  5. Step 5: Solve for x
    x = 24,054.79/148.14
  6. Step 6: Final answer
    x = 162.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.