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Finding the Fourth Proportional to 302.09, 416.27 and 197.06

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Solution

The fourth proportional to 302.09, 416.27 and 197.06 is: 271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.09 : 416.27 = 197.06 : x
  2. Step 2: Convert to fraction form
    302.09/416.27 = 197.06/x
  3. Step 3: Cross multiply
    302.09x = 416.27 × 197.06
  4. Step 4: Simplify right side
    302.09x = 82,028.58
  5. Step 5: Solve for x
    x = 82,028.58/302.09
  6. Step 6: Final answer
    x = 271.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.