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Finding the Fourth Proportional to 311.95, 468.14 and 167.77

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Solution

The fourth proportional to 311.95, 468.14 and 167.77 is: 251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.95 : 468.14 = 167.77 : x
  2. Step 2: Convert to fraction form
    311.95/468.14 = 167.77/x
  3. Step 3: Cross multiply
    311.95x = 468.14 × 167.77
  4. Step 4: Simplify right side
    311.95x = 78,539.85
  5. Step 5: Solve for x
    x = 78,539.85/311.95
  6. Step 6: Final answer
    x = 251.77

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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.