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Finding the Fourth Proportional to 202.16, 304.94 and 195.68

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Solution

The fourth proportional to 202.16, 304.94 and 195.68 is: 295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.16 : 304.94 = 195.68 : x
  2. Step 2: Convert to fraction form
    202.16/304.94 = 195.68/x
  3. Step 3: Cross multiply
    202.16x = 304.94 × 195.68
  4. Step 4: Simplify right side
    202.16x = 59,670.66
  5. Step 5: Solve for x
    x = 59,670.66/202.16
  6. Step 6: Final answer
    x = 295.17

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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.