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Finding the Fourth Proportional to 240.01, 329.42 and 229.99

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Solution

The fourth proportional to 240.01, 329.42 and 229.99 is: 315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.01 : 329.42 = 229.99 : x
  2. Step 2: Convert to fraction form
    240.01/329.42 = 229.99/x
  3. Step 3: Cross multiply
    240.01x = 329.42 × 229.99
  4. Step 4: Simplify right side
    240.01x = 75,763.31
  5. Step 5: Solve for x
    x = 75,763.31/240.01
  6. Step 6: Final answer
    x = 315.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.