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Finding the Fourth Proportional to 245.58, 338.70 and 201.84

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Solution

The fourth proportional to 245.58, 338.70 and 201.84 is: 278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.58 : 338.70 = 201.84 : x
  2. Step 2: Convert to fraction form
    245.58/338.70 = 201.84/x
  3. Step 3: Cross multiply
    245.58x = 338.70 × 201.84
  4. Step 4: Simplify right side
    245.58x = 68,363.21
  5. Step 5: Solve for x
    x = 68,363.21/245.58
  6. Step 6: Final answer
    x = 278.37

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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.