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Finding the Fourth Proportional to 271.73, 407.52 and 169.07

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Solution

The fourth proportional to 271.73, 407.52 and 169.07 is: 253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.73 : 407.52 = 169.07 : x
  2. Step 2: Convert to fraction form
    271.73/407.52 = 169.07/x
  3. Step 3: Cross multiply
    271.73x = 407.52 × 169.07
  4. Step 4: Simplify right side
    271.73x = 68,897.37
  5. Step 5: Solve for x
    x = 68,897.37/271.73
  6. Step 6: Final answer
    x = 253.55

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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.