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Finding the Fourth Proportional to 531.10, 796.42 and 311.94

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Solution

The fourth proportional to 531.10, 796.42 and 311.94 is: 467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.10 : 796.42 = 311.94 : x
  2. Step 2: Convert to fraction form
    531.10/796.42 = 311.94/x
  3. Step 3: Cross multiply
    531.10x = 796.42 × 311.94
  4. Step 4: Simplify right side
    531.10x = 248,435.25
  5. Step 5: Solve for x
    x = 248,435.25/531.10
  6. Step 6: Final answer
    x = 467.77

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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.