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Finding the Fourth Proportional to 271.30, 406.92 and 78.93

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Solution

The fourth proportional to 271.30, 406.92 and 78.93 is: 118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.30 : 406.92 = 78.93 : x
  2. Step 2: Convert to fraction form
    271.30/406.92 = 78.93/x
  3. Step 3: Cross multiply
    271.30x = 406.92 × 78.93
  4. Step 4: Simplify right side
    271.30x = 32,118.20
  5. Step 5: Solve for x
    x = 32,118.20/271.30
  6. Step 6: Final answer
    x = 118.39

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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.