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Finding the Fourth Proportional to 311.21, 464.74 and 293.21

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Solution

The fourth proportional to 311.21, 464.74 and 293.21 is: 437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.21 : 464.74 = 293.21 : x
  2. Step 2: Convert to fraction form
    311.21/464.74 = 293.21/x
  3. Step 3: Cross multiply
    311.21x = 464.74 × 293.21
  4. Step 4: Simplify right side
    311.21x = 136,264.95
  5. Step 5: Solve for x
    x = 136,264.95/311.21
  6. Step 6: Final answer
    x = 437.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.