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Finding the Fourth Proportional to 195.13, 290.47 and 186.28

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Solution

The fourth proportional to 195.13, 290.47 and 186.28 is: 277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.13 : 290.47 = 186.28 : x
  2. Step 2: Convert to fraction form
    195.13/290.47 = 186.28/x
  3. Step 3: Cross multiply
    195.13x = 290.47 × 186.28
  4. Step 4: Simplify right side
    195.13x = 54,107.30
  5. Step 5: Solve for x
    x = 54,107.30/195.13
  6. Step 6: Final answer
    x = 277.30

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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.