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Finding the Fourth Proportional to 271.92, 406.80 and 245.28

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Solution

The fourth proportional to 271.92, 406.80 and 245.28 is: 366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.92 : 406.80 = 245.28 : x
  2. Step 2: Convert to fraction form
    271.92/406.80 = 245.28/x
  3. Step 3: Cross multiply
    271.92x = 406.80 × 245.28
  4. Step 4: Simplify right side
    271.92x = 99,779.90
  5. Step 5: Solve for x
    x = 99,779.90/271.92
  6. Step 6: Final answer
    x = 366.95

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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.