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Finding the Fourth Proportional to 137.74, 206.64 and 80.02

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Solution

The fourth proportional to 137.74, 206.64 and 80.02 is: 120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.74 : 206.64 = 80.02 : x
  2. Step 2: Convert to fraction form
    137.74/206.64 = 80.02/x
  3. Step 3: Cross multiply
    137.74x = 206.64 × 80.02
  4. Step 4: Simplify right side
    137.74x = 16,535.33
  5. Step 5: Solve for x
    x = 16,535.33/137.74
  6. Step 6: Final answer
    x = 120.05

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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.