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Finding the Fourth Proportional to 202.08, 279.01 and 180.21

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Solution

The fourth proportional to 202.08, 279.01 and 180.21 is: 248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.08 : 279.01 = 180.21 : x
  2. Step 2: Convert to fraction form
    202.08/279.01 = 180.21/x
  3. Step 3: Cross multiply
    202.08x = 279.01 × 180.21
  4. Step 4: Simplify right side
    202.08x = 50,280.39
  5. Step 5: Solve for x
    x = 50,280.39/202.08
  6. Step 6: Final answer
    x = 248.81

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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.