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Finding the Fourth Proportional to 271.96, 405.81 and 239.15

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Solution

The fourth proportional to 271.96, 405.81 and 239.15 is: 356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.96 : 405.81 = 239.15 : x
  2. Step 2: Convert to fraction form
    271.96/405.81 = 239.15/x
  3. Step 3: Cross multiply
    271.96x = 405.81 × 239.15
  4. Step 4: Simplify right side
    271.96x = 97,050.48
  5. Step 5: Solve for x
    x = 97,050.48/271.96
  6. Step 6: Final answer
    x = 356.86

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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.