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Finding the Fourth Proportional to 357.05, 492.79 and 201.80

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Solution

The fourth proportional to 357.05, 492.79 and 201.80 is: 278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.05 : 492.79 = 201.80 : x
  2. Step 2: Convert to fraction form
    357.05/492.79 = 201.80/x
  3. Step 3: Cross multiply
    357.05x = 492.79 × 201.80
  4. Step 4: Simplify right side
    357.05x = 99,443.92
  5. Step 5: Solve for x
    x = 99,443.92/357.05
  6. Step 6: Final answer
    x = 278.52

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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.