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Finding the Fourth Proportional to 245.08, 338.22 and 155.38

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Solution

The fourth proportional to 245.08, 338.22 and 155.38 is: 214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.08 : 338.22 = 155.38 : x
  2. Step 2: Convert to fraction form
    245.08/338.22 = 155.38/x
  3. Step 3: Cross multiply
    245.08x = 338.22 × 155.38
  4. Step 4: Simplify right side
    245.08x = 52,552.62
  5. Step 5: Solve for x
    x = 52,552.62/245.08
  6. Step 6: Final answer
    x = 214.43

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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.