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Finding the Fourth Proportional to 218.30, 301.16 and 124.97

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Solution

The fourth proportional to 218.30, 301.16 and 124.97 is: 172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.30 : 301.16 = 124.97 : x
  2. Step 2: Convert to fraction form
    218.30/301.16 = 124.97/x
  3. Step 3: Cross multiply
    218.30x = 301.16 × 124.97
  4. Step 4: Simplify right side
    218.30x = 37,637.03
  5. Step 5: Solve for x
    x = 37,637.03/218.30
  6. Step 6: Final answer
    x = 172.41

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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.