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Finding the Fourth Proportional to 271.85, 407.00 and 180.37

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Solution

The fourth proportional to 271.85, 407.00 and 180.37 is: 270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.85 : 407.00 = 180.37 : x
  2. Step 2: Convert to fraction form
    271.85/407.00 = 180.37/x
  3. Step 3: Cross multiply
    271.85x = 407.00 × 180.37
  4. Step 4: Simplify right side
    271.85x = 73,410.02
  5. Step 5: Solve for x
    x = 73,410.02/271.85
  6. Step 6: Final answer
    x = 270.04

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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.