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Finding the Fourth Proportional to 405.38, 605.44 and 350.66

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Solution

The fourth proportional to 405.38, 605.44 and 350.66 is: 523.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.38 : 605.44 = 350.66 : x
  2. Step 2: Convert to fraction form
    405.38/605.44 = 350.66/x
  3. Step 3: Cross multiply
    405.38x = 605.44 × 350.66
  4. Step 4: Simplify right side
    405.38x = 212,303.59
  5. Step 5: Solve for x
    x = 212,303.59/405.38
  6. Step 6: Final answer
    x = 523.72

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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.