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Finding the Fourth Proportional to 137.23, 206.15 and 98.96

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Solution

The fourth proportional to 137.23, 206.15 and 98.96 is: 148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.23 : 206.15 = 98.96 : x
  2. Step 2: Convert to fraction form
    137.23/206.15 = 98.96/x
  3. Step 3: Cross multiply
    137.23x = 206.15 × 98.96
  4. Step 4: Simplify right side
    137.23x = 20,399.08
  5. Step 5: Solve for x
    x = 20,399.08/137.23
  6. Step 6: Final answer
    x = 148.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.