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Finding the Fourth Proportional to 233.09, 349.67 and 136.88

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Solution

The fourth proportional to 233.09, 349.67 and 136.88 is: 205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.09 : 349.67 = 136.88 : x
  2. Step 2: Convert to fraction form
    233.09/349.67 = 136.88/x
  3. Step 3: Cross multiply
    233.09x = 349.67 × 136.88
  4. Step 4: Simplify right side
    233.09x = 47,861.42
  5. Step 5: Solve for x
    x = 47,861.42/233.09
  6. Step 6: Final answer
    x = 205.34

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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.