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Finding the Fourth Proportional to 229.88, 342.92 and 205.58

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Solution

The fourth proportional to 229.88, 342.92 and 205.58 is: 306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.88 : 342.92 = 205.58 : x
  2. Step 2: Convert to fraction form
    229.88/342.92 = 205.58/x
  3. Step 3: Cross multiply
    229.88x = 342.92 × 205.58
  4. Step 4: Simplify right side
    229.88x = 70,497.49
  5. Step 5: Solve for x
    x = 70,497.49/229.88
  6. Step 6: Final answer
    x = 306.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.