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Finding the Fourth Proportional to 137.10, 186.78 and 137.10

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Solution

The fourth proportional to 137.10, 186.78 and 137.10 is: 186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.10 : 186.78 = 137.10 : x
  2. Step 2: Convert to fraction form
    137.10/186.78 = 137.10/x
  3. Step 3: Cross multiply
    137.10x = 186.78 × 137.10
  4. Step 4: Simplify right side
    137.10x = 25,607.54
  5. Step 5: Solve for x
    x = 25,607.54/137.10
  6. Step 6: Final answer
    x = 186.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.