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Finding the Fourth Proportional to 271.01, 405.61 and 179.69

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Solution

The fourth proportional to 271.01, 405.61 and 179.69 is: 268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.01 : 405.61 = 179.69 : x
  2. Step 2: Convert to fraction form
    271.01/405.61 = 179.69/x
  3. Step 3: Cross multiply
    271.01x = 405.61 × 179.69
  4. Step 4: Simplify right side
    271.01x = 72,881.58
  5. Step 5: Solve for x
    x = 72,881.58/271.01
  6. Step 6: Final answer
    x = 268.92

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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.