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Finding the Fourth Proportional to 531.57, 796.20 and 257.09

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Solution

The fourth proportional to 531.57, 796.20 and 257.09 is: 385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.57 : 796.20 = 257.09 : x
  2. Step 2: Convert to fraction form
    531.57/796.20 = 257.09/x
  3. Step 3: Cross multiply
    531.57x = 796.20 × 257.09
  4. Step 4: Simplify right side
    531.57x = 204,693.53
  5. Step 5: Solve for x
    x = 204,693.53/531.57
  6. Step 6: Final answer
    x = 385.07

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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.