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Finding the Fourth Proportional to 202.07, 304.50 and 166.79

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Solution

The fourth proportional to 202.07, 304.50 and 166.79 is: 251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.07 : 304.50 = 166.79 : x
  2. Step 2: Convert to fraction form
    202.07/304.50 = 166.79/x
  3. Step 3: Cross multiply
    202.07x = 304.50 × 166.79
  4. Step 4: Simplify right side
    202.07x = 50,787.14
  5. Step 5: Solve for x
    x = 50,787.14/202.07
  6. Step 6: Final answer
    x = 251.33

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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.