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Finding the Fourth Proportional to 245.27, 338.58 and 186.27

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Solution

The fourth proportional to 245.27, 338.58 and 186.27 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.27 : 338.58 = 186.27 : x
  2. Step 2: Convert to fraction form
    245.27/338.58 = 186.27/x
  3. Step 3: Cross multiply
    245.27x = 338.58 × 186.27
  4. Step 4: Simplify right side
    245.27x = 63,067.30
  5. Step 5: Solve for x
    x = 63,067.30/245.27
  6. Step 6: Final answer
    x = 257.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.