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Finding the Fourth Proportional to 202.77, 305.21 and 183.94

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Solution

The fourth proportional to 202.77, 305.21 and 183.94 is: 276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.77 : 305.21 = 183.94 : x
  2. Step 2: Convert to fraction form
    202.77/305.21 = 183.94/x
  3. Step 3: Cross multiply
    202.77x = 305.21 × 183.94
  4. Step 4: Simplify right side
    202.77x = 56,140.02
  5. Step 5: Solve for x
    x = 56,140.02/202.77
  6. Step 6: Final answer
    x = 276.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.