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Finding the Fourth Proportional to 229.53, 344.58 and 138.33

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Solution

The fourth proportional to 229.53, 344.58 and 138.33 is: 207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.53 : 344.58 = 138.33 : x
  2. Step 2: Convert to fraction form
    229.53/344.58 = 138.33/x
  3. Step 3: Cross multiply
    229.53x = 344.58 × 138.33
  4. Step 4: Simplify right side
    229.53x = 47,665.75
  5. Step 5: Solve for x
    x = 47,665.75/229.53
  6. Step 6: Final answer
    x = 207.67

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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.