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Finding the Fourth Proportional to 202.92, 305.63 and 180.36

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Solution

The fourth proportional to 202.92, 305.63 and 180.36 is: 271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 305.63 = 180.36 : x
  2. Step 2: Convert to fraction form
    202.92/305.63 = 180.36/x
  3. Step 3: Cross multiply
    202.92x = 305.63 × 180.36
  4. Step 4: Simplify right side
    202.92x = 55,123.43
  5. Step 5: Solve for x
    x = 55,123.43/202.92
  6. Step 6: Final answer
    x = 271.65

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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.