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Finding the Fourth Proportional to 137.74, 206.44 and 60.69

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Solution

The fourth proportional to 137.74, 206.44 and 60.69 is: 90.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.74 : 206.44 = 60.69 : x
  2. Step 2: Convert to fraction form
    137.74/206.44 = 60.69/x
  3. Step 3: Cross multiply
    137.74x = 206.44 × 60.69
  4. Step 4: Simplify right side
    137.74x = 12,528.84
  5. Step 5: Solve for x
    x = 12,528.84/137.74
  6. Step 6: Final answer
    x = 90.96

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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.