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Finding the Fourth Proportional to 311.01, 468.35 and 270.92

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Solution

The fourth proportional to 311.01, 468.35 and 270.92 is: 407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.01 : 468.35 = 270.92 : x
  2. Step 2: Convert to fraction form
    311.01/468.35 = 270.92/x
  3. Step 3: Cross multiply
    311.01x = 468.35 × 270.92
  4. Step 4: Simplify right side
    311.01x = 126,883.72
  5. Step 5: Solve for x
    x = 126,883.72/311.01
  6. Step 6: Final answer
    x = 407.97

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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.