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Finding the Fourth Proportional to 148.86, 222.47 and 119.65

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Solution

The fourth proportional to 148.86, 222.47 and 119.65 is: 178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.86 : 222.47 = 119.65 : x
  2. Step 2: Convert to fraction form
    148.86/222.47 = 119.65/x
  3. Step 3: Cross multiply
    148.86x = 222.47 × 119.65
  4. Step 4: Simplify right side
    148.86x = 26,617.94
  5. Step 5: Solve for x
    x = 26,617.94/148.86
  6. Step 6: Final answer
    x = 178.81

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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.