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Finding the Fourth Proportional to 143.65, 198.26 and 100

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Solution

The fourth proportional to 143.65, 198.26 and 100 is: 138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.65 : 198.26 = 100 : x
  2. Step 2: Convert to fraction form
    143.65/198.26 = 100/x
  3. Step 3: Cross multiply
    143.65x = 198.26 × 100
  4. Step 4: Simplify right side
    143.65x = 19,826
  5. Step 5: Solve for x
    x = 19,826/143.65
  6. Step 6: Final answer
    x = 138.02

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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.