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Finding the Fourth Proportional to 137.80, 205.79 and 130.51

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Solution

The fourth proportional to 137.80, 205.79 and 130.51 is: 194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.80 : 205.79 = 130.51 : x
  2. Step 2: Convert to fraction form
    137.80/205.79 = 130.51/x
  3. Step 3: Cross multiply
    137.80x = 205.79 × 130.51
  4. Step 4: Simplify right side
    137.80x = 26,857.65
  5. Step 5: Solve for x
    x = 26,857.65/137.80
  6. Step 6: Final answer
    x = 194.90

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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.