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Finding the Fourth Proportional to 301.09, 415.51 and 170.13

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Solution

The fourth proportional to 301.09, 415.51 and 170.13 is: 234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.09 : 415.51 = 170.13 : x
  2. Step 2: Convert to fraction form
    301.09/415.51 = 170.13/x
  3. Step 3: Cross multiply
    301.09x = 415.51 × 170.13
  4. Step 4: Simplify right side
    301.09x = 70,690.72
  5. Step 5: Solve for x
    x = 70,690.72/301.09
  6. Step 6: Final answer
    x = 234.78

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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.