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Finding the Fourth Proportional to 271.56, 405.05 and 263.48

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Solution

The fourth proportional to 271.56, 405.05 and 263.48 is: 393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.56 : 405.05 = 263.48 : x
  2. Step 2: Convert to fraction form
    271.56/405.05 = 263.48/x
  3. Step 3: Cross multiply
    271.56x = 405.05 × 263.48
  4. Step 4: Simplify right side
    271.56x = 106,722.57
  5. Step 5: Solve for x
    x = 106,722.57/271.56
  6. Step 6: Final answer
    x = 393.00

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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.