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Finding the Fourth Proportional to 311.88, 467.01 and 174.72

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Solution

The fourth proportional to 311.88, 467.01 and 174.72 is: 261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.88 : 467.01 = 174.72 : x
  2. Step 2: Convert to fraction form
    311.88/467.01 = 174.72/x
  3. Step 3: Cross multiply
    311.88x = 467.01 × 174.72
  4. Step 4: Simplify right side
    311.88x = 81,595.99
  5. Step 5: Solve for x
    x = 81,595.99/311.88
  6. Step 6: Final answer
    x = 261.63

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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.