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Finding the Fourth Proportional to 271.69, 407.56 and 257.11

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Solution

The fourth proportional to 271.69, 407.56 and 257.11 is: 385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.69 : 407.56 = 257.11 : x
  2. Step 2: Convert to fraction form
    271.69/407.56 = 257.11/x
  3. Step 3: Cross multiply
    271.69x = 407.56 × 257.11
  4. Step 4: Simplify right side
    271.69x = 104,787.75
  5. Step 5: Solve for x
    x = 104,787.75/271.69
  6. Step 6: Final answer
    x = 385.69

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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.