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Finding the Fourth Proportional to 271.11, 405.72 and 259.77

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Solution

The fourth proportional to 271.11, 405.72 and 259.77 is: 388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.11 : 405.72 = 259.77 : x
  2. Step 2: Convert to fraction form
    271.11/405.72 = 259.77/x
  3. Step 3: Cross multiply
    271.11x = 405.72 × 259.77
  4. Step 4: Simplify right side
    271.11x = 105,393.88
  5. Step 5: Solve for x
    x = 105,393.88/271.11
  6. Step 6: Final answer
    x = 388.75

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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.