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Finding the Fourth Proportional to 311.25, 466.84 and 91.87

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Solution

The fourth proportional to 311.25, 466.84 and 91.87 is: 137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.25 : 466.84 = 91.87 : x
  2. Step 2: Convert to fraction form
    311.25/466.84 = 91.87/x
  3. Step 3: Cross multiply
    311.25x = 466.84 × 91.87
  4. Step 4: Simplify right side
    311.25x = 42,886.88
  5. Step 5: Solve for x
    x = 42,886.88/311.25
  6. Step 6: Final answer
    x = 137.79

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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.