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Finding the Fourth Proportional to 271.08, 403.96 and 263.28

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Solution

The fourth proportional to 271.08, 403.96 and 263.28 is: 392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.08 : 403.96 = 263.28 : x
  2. Step 2: Convert to fraction form
    271.08/403.96 = 263.28/x
  3. Step 3: Cross multiply
    271.08x = 403.96 × 263.28
  4. Step 4: Simplify right side
    271.08x = 106,354.59
  5. Step 5: Solve for x
    x = 106,354.59/271.08
  6. Step 6: Final answer
    x = 392.34

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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.