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Finding the Fourth Proportional to 245.30, 338.09 and 192.78

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Solution

The fourth proportional to 245.30, 338.09 and 192.78 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.30 : 338.09 = 192.78 : x
  2. Step 2: Convert to fraction form
    245.30/338.09 = 192.78/x
  3. Step 3: Cross multiply
    245.30x = 338.09 × 192.78
  4. Step 4: Simplify right side
    245.30x = 65,176.03
  5. Step 5: Solve for x
    x = 65,176.03/245.30
  6. Step 6: Final answer
    x = 265.70

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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.