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Finding the Fourth Proportional to 144.65, 198.50 and 132.41

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Solution

The fourth proportional to 144.65, 198.50 and 132.41 is: 181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.65 : 198.50 = 132.41 : x
  2. Step 2: Convert to fraction form
    144.65/198.50 = 132.41/x
  3. Step 3: Cross multiply
    144.65x = 198.50 × 132.41
  4. Step 4: Simplify right side
    144.65x = 26,283.22
  5. Step 5: Solve for x
    x = 26,283.22/144.65
  6. Step 6: Final answer
    x = 181.70

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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.