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Finding the Fourth Proportional to 405.33, 605.66 and 332.25

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Solution

The fourth proportional to 405.33, 605.66 and 332.25 is: 496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.33 : 605.66 = 332.25 : x
  2. Step 2: Convert to fraction form
    405.33/605.66 = 332.25/x
  3. Step 3: Cross multiply
    405.33x = 605.66 × 332.25
  4. Step 4: Simplify right side
    405.33x = 201,231.37
  5. Step 5: Solve for x
    x = 201,231.37/405.33
  6. Step 6: Final answer
    x = 496.46

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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.