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Finding the Fourth Proportional to 531.23, 796.86 and 257.49

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Solution

The fourth proportional to 531.23, 796.86 and 257.49 is: 386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.23 : 796.86 = 257.49 : x
  2. Step 2: Convert to fraction form
    531.23/796.86 = 257.49/x
  3. Step 3: Cross multiply
    531.23x = 796.86 × 257.49
  4. Step 4: Simplify right side
    531.23x = 205,183.48
  5. Step 5: Solve for x
    x = 205,183.48/531.23
  6. Step 6: Final answer
    x = 386.25

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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.