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Finding the Fourth Proportional to 659.37, 989.15 and 226.43

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Solution

The fourth proportional to 659.37, 989.15 and 226.43 is: 339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.37 : 989.15 = 226.43 : x
  2. Step 2: Convert to fraction form
    659.37/989.15 = 226.43/x
  3. Step 3: Cross multiply
    659.37x = 989.15 × 226.43
  4. Step 4: Simplify right side
    659.37x = 223,967.16
  5. Step 5: Solve for x
    x = 223,967.16/659.37
  6. Step 6: Final answer
    x = 339.67

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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.