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Finding the Fourth Proportional to 271.09, 373.85 and 229.60

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Solution

The fourth proportional to 271.09, 373.85 and 229.60 is: 316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.09 : 373.85 = 229.60 : x
  2. Step 2: Convert to fraction form
    271.09/373.85 = 229.60/x
  3. Step 3: Cross multiply
    271.09x = 373.85 × 229.60
  4. Step 4: Simplify right side
    271.09x = 85,835.96
  5. Step 5: Solve for x
    x = 85,835.96/271.09
  6. Step 6: Final answer
    x = 316.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.