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Finding the Fourth Proportional to 202.39, 304.64 and 183.56

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Solution

The fourth proportional to 202.39, 304.64 and 183.56 is: 276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.39 : 304.64 = 183.56 : x
  2. Step 2: Convert to fraction form
    202.39/304.64 = 183.56/x
  3. Step 3: Cross multiply
    202.39x = 304.64 × 183.56
  4. Step 4: Simplify right side
    202.39x = 55,918.65
  5. Step 5: Solve for x
    x = 55,918.65/202.39
  6. Step 6: Final answer
    x = 276.29

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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.