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Finding the Fourth Proportional to 202.78, 304.53 and 121.78

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Solution

The fourth proportional to 202.78, 304.53 and 121.78 is: 182.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.78 : 304.53 = 121.78 : x
  2. Step 2: Convert to fraction form
    202.78/304.53 = 121.78/x
  3. Step 3: Cross multiply
    202.78x = 304.53 × 121.78
  4. Step 4: Simplify right side
    202.78x = 37,085.66
  5. Step 5: Solve for x
    x = 37,085.66/202.78
  6. Step 6: Final answer
    x = 182.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.