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Finding the Fourth Proportional to 148.69, 204.61 and 111.73

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Solution

The fourth proportional to 148.69, 204.61 and 111.73 is: 153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.69 : 204.61 = 111.73 : x
  2. Step 2: Convert to fraction form
    148.69/204.61 = 111.73/x
  3. Step 3: Cross multiply
    148.69x = 204.61 × 111.73
  4. Step 4: Simplify right side
    148.69x = 22,860.52
  5. Step 5: Solve for x
    x = 22,860.52/148.69
  6. Step 6: Final answer
    x = 153.75

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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.