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Finding the Fourth Proportional to 311.85, 469.62 and 271.76

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Solution

The fourth proportional to 311.85, 469.62 and 271.76 is: 409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.85 : 469.62 = 271.76 : x
  2. Step 2: Convert to fraction form
    311.85/469.62 = 271.76/x
  3. Step 3: Cross multiply
    311.85x = 469.62 × 271.76
  4. Step 4: Simplify right side
    311.85x = 127,621.58
  5. Step 5: Solve for x
    x = 127,621.58/311.85
  6. Step 6: Final answer
    x = 409.24

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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.