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Finding the Fourth Proportional to 311.94, 469.77 and 271.85

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Solution

The fourth proportional to 311.94, 469.77 and 271.85 is: 409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.94 : 469.77 = 271.85 : x
  2. Step 2: Convert to fraction form
    311.94/469.77 = 271.85/x
  3. Step 3: Cross multiply
    311.94x = 469.77 × 271.85
  4. Step 4: Simplify right side
    311.94x = 127,703.61
  5. Step 5: Solve for x
    x = 127,703.61/311.94
  6. Step 6: Final answer
    x = 409.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.