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Finding the Fourth Proportional to 403.76, 605.66 and 115.22

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Solution

The fourth proportional to 403.76, 605.66 and 115.22 is: 172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.76 : 605.66 = 115.22 : x
  2. Step 2: Convert to fraction form
    403.76/605.66 = 115.22/x
  3. Step 3: Cross multiply
    403.76x = 605.66 × 115.22
  4. Step 4: Simplify right side
    403.76x = 69,780.54
  5. Step 5: Solve for x
    x = 69,780.54/403.76
  6. Step 6: Final answer
    x = 172.83

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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.