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Finding the Fourth Proportional to 144.63, 198.74 and 115.47

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Solution

The fourth proportional to 144.63, 198.74 and 115.47 is: 158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.63 : 198.74 = 115.47 : x
  2. Step 2: Convert to fraction form
    144.63/198.74 = 115.47/x
  3. Step 3: Cross multiply
    144.63x = 198.74 × 115.47
  4. Step 4: Simplify right side
    144.63x = 22,948.80
  5. Step 5: Solve for x
    x = 22,948.80/144.63
  6. Step 6: Final answer
    x = 158.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.