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Finding the Fourth Proportional to 202.50, 278.64 and 196.83

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Solution

The fourth proportional to 202.50, 278.64 and 196.83 is: 270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.50 : 278.64 = 196.83 : x
  2. Step 2: Convert to fraction form
    202.50/278.64 = 196.83/x
  3. Step 3: Cross multiply
    202.50x = 278.64 × 196.83
  4. Step 4: Simplify right side
    202.50x = 54,844.71
  5. Step 5: Solve for x
    x = 54,844.71/202.50
  6. Step 6: Final answer
    x = 270.84

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