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Finding the Fourth Proportional to 137.95, 205.60 and 134.98

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Solution

The fourth proportional to 137.95, 205.60 and 134.98 is: 201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.95 : 205.60 = 134.98 : x
  2. Step 2: Convert to fraction form
    137.95/205.60 = 134.98/x
  3. Step 3: Cross multiply
    137.95x = 205.60 × 134.98
  4. Step 4: Simplify right side
    137.95x = 27,751.89
  5. Step 5: Solve for x
    x = 27,751.89/137.95
  6. Step 6: Final answer
    x = 201.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.