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Finding the Fourth Proportional to 270.87, 406.03 and 189.69

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Solution

The fourth proportional to 270.87, 406.03 and 189.69 is: 284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.87 : 406.03 = 189.69 : x
  2. Step 2: Convert to fraction form
    270.87/406.03 = 189.69/x
  3. Step 3: Cross multiply
    270.87x = 406.03 × 189.69
  4. Step 4: Simplify right side
    270.87x = 77,019.83
  5. Step 5: Solve for x
    x = 77,019.83/270.87
  6. Step 6: Final answer
    x = 284.34

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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.