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Finding the Fourth Proportional to 137.50, 205.74 and 103.14

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Solution

The fourth proportional to 137.50, 205.74 and 103.14 is: 154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.50 : 205.74 = 103.14 : x
  2. Step 2: Convert to fraction form
    137.50/205.74 = 103.14/x
  3. Step 3: Cross multiply
    137.50x = 205.74 × 103.14
  4. Step 4: Simplify right side
    137.50x = 21,220.02
  5. Step 5: Solve for x
    x = 21,220.02/137.50
  6. Step 6: Final answer
    x = 154.33

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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.