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Finding the Fourth Proportional to 405.67, 609.42 and 243.47

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Solution

The fourth proportional to 405.67, 609.42 and 243.47 is: 365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.67 : 609.42 = 243.47 : x
  2. Step 2: Convert to fraction form
    405.67/609.42 = 243.47/x
  3. Step 3: Cross multiply
    405.67x = 609.42 × 243.47
  4. Step 4: Simplify right side
    405.67x = 148,375.49
  5. Step 5: Solve for x
    x = 148,375.49/405.67
  6. Step 6: Final answer
    x = 365.75

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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.