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Finding the Fourth Proportional to 170.41, 255.65 and 72.90

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Solution

The fourth proportional to 170.41, 255.65 and 72.90 is: 109.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.41 : 255.65 = 72.90 : x
  2. Step 2: Convert to fraction form
    170.41/255.65 = 72.90/x
  3. Step 3: Cross multiply
    170.41x = 255.65 × 72.90
  4. Step 4: Simplify right side
    170.41x = 18,636.89
  5. Step 5: Solve for x
    x = 18,636.89/170.41
  6. Step 6: Final answer
    x = 109.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.