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Finding the Fourth Proportional to 202.93, 304.17 and 121.60

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Solution

The fourth proportional to 202.93, 304.17 and 121.60 is: 182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.93 : 304.17 = 121.60 : x
  2. Step 2: Convert to fraction form
    202.93/304.17 = 121.60/x
  3. Step 3: Cross multiply
    202.93x = 304.17 × 121.60
  4. Step 4: Simplify right side
    202.93x = 36,987.07
  5. Step 5: Solve for x
    x = 36,987.07/202.93
  6. Step 6: Final answer
    x = 182.27

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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.