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Finding the Fourth Proportional to 271.51, 406.63 and 179.98

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Solution

The fourth proportional to 271.51, 406.63 and 179.98 is: 269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.51 : 406.63 = 179.98 : x
  2. Step 2: Convert to fraction form
    271.51/406.63 = 179.98/x
  3. Step 3: Cross multiply
    271.51x = 406.63 × 179.98
  4. Step 4: Simplify right side
    271.51x = 73,185.27
  5. Step 5: Solve for x
    x = 73,185.27/271.51
  6. Step 6: Final answer
    x = 269.55

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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.