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Finding the Fourth Proportional to 202.30, 304.81 and 162.66

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Solution

The fourth proportional to 202.30, 304.81 and 162.66 is: 245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.30 : 304.81 = 162.66 : x
  2. Step 2: Convert to fraction form
    202.30/304.81 = 162.66/x
  3. Step 3: Cross multiply
    202.30x = 304.81 × 162.66
  4. Step 4: Simplify right side
    202.30x = 49,580.33
  5. Step 5: Solve for x
    x = 49,580.33/202.30
  6. Step 6: Final answer
    x = 245.09

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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.