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Finding the Fourth Proportional to 202.03, 277.48 and 180.16

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Solution

The fourth proportional to 202.03, 277.48 and 180.16 is: 247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.03 : 277.48 = 180.16 : x
  2. Step 2: Convert to fraction form
    202.03/277.48 = 180.16/x
  3. Step 3: Cross multiply
    202.03x = 277.48 × 180.16
  4. Step 4: Simplify right side
    202.03x = 49,990.80
  5. Step 5: Solve for x
    x = 49,990.80/202.03
  6. Step 6: Final answer
    x = 247.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.