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Finding the Fourth Proportional to 312.99, 469.44 and 81.86

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Solution

The fourth proportional to 312.99, 469.44 and 81.86 is: 122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.99 : 469.44 = 81.86 : x
  2. Step 2: Convert to fraction form
    312.99/469.44 = 81.86/x
  3. Step 3: Cross multiply
    312.99x = 469.44 × 81.86
  4. Step 4: Simplify right side
    312.99x = 38,427.95
  5. Step 5: Solve for x
    x = 38,427.95/312.99
  6. Step 6: Final answer
    x = 122.78

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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.