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Finding the Fourth Proportional to 405.87, 609.09 and 189.48

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Solution

The fourth proportional to 405.87, 609.09 and 189.48 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.87 : 609.09 = 189.48 : x
  2. Step 2: Convert to fraction form
    405.87/609.09 = 189.48/x
  3. Step 3: Cross multiply
    405.87x = 609.09 × 189.48
  4. Step 4: Simplify right side
    405.87x = 115,410.37
  5. Step 5: Solve for x
    x = 115,410.37/405.87
  6. Step 6: Final answer
    x = 284.35

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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.