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Finding the Fourth Proportional to 271.36, 407.36 and 256.96

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Solution

The fourth proportional to 271.36, 407.36 and 256.96 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.36 : 407.36 = 256.96 : x
  2. Step 2: Convert to fraction form
    271.36/407.36 = 256.96/x
  3. Step 3: Cross multiply
    271.36x = 407.36 × 256.96
  4. Step 4: Simplify right side
    271.36x = 104,675.23
  5. Step 5: Solve for x
    x = 104,675.23/271.36
  6. Step 6: Final answer
    x = 385.74

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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.