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Finding the Fourth Proportional to 405.27, 605.32 and 350.60

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Solution

The fourth proportional to 405.27, 605.32 and 350.60 is: 523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.27 : 605.32 = 350.60 : x
  2. Step 2: Convert to fraction form
    405.27/605.32 = 350.60/x
  3. Step 3: Cross multiply
    405.27x = 605.32 × 350.60
  4. Step 4: Simplify right side
    405.27x = 212,221.29
  5. Step 5: Solve for x
    x = 212,221.29/405.27
  6. Step 6: Final answer
    x = 523.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.