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Finding the Fourth Proportional to 148.81, 222.16 and 125.83

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Solution

The fourth proportional to 148.81, 222.16 and 125.83 is: 187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.81 : 222.16 = 125.83 : x
  2. Step 2: Convert to fraction form
    148.81/222.16 = 125.83/x
  3. Step 3: Cross multiply
    148.81x = 222.16 × 125.83
  4. Step 4: Simplify right side
    148.81x = 27,954.39
  5. Step 5: Solve for x
    x = 27,954.39/148.81
  6. Step 6: Final answer
    x = 187.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.