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Finding the Fourth Proportional to 271.83, 405.94 and 257.79

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Solution

The fourth proportional to 271.83, 405.94 and 257.79 is: 384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.83 : 405.94 = 257.79 : x
  2. Step 2: Convert to fraction form
    271.83/405.94 = 257.79/x
  3. Step 3: Cross multiply
    271.83x = 405.94 × 257.79
  4. Step 4: Simplify right side
    271.83x = 104,646.63
  5. Step 5: Solve for x
    x = 104,646.63/271.83
  6. Step 6: Final answer
    x = 384.97

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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.