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Finding the Fourth Proportional to 137.45, 206.37 and 137.04

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Solution

The fourth proportional to 137.45, 206.37 and 137.04 is: 205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.45 : 206.37 = 137.04 : x
  2. Step 2: Convert to fraction form
    137.45/206.37 = 137.04/x
  3. Step 3: Cross multiply
    137.45x = 206.37 × 137.04
  4. Step 4: Simplify right side
    137.45x = 28,280.94
  5. Step 5: Solve for x
    x = 28,280.94/137.45
  6. Step 6: Final answer
    x = 205.76

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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.