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Finding the Fourth Proportional to 297.81, 446.31 and 257.31

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Solution

The fourth proportional to 297.81, 446.31 and 257.31 is: 385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.81 : 446.31 = 257.31 : x
  2. Step 2: Convert to fraction form
    297.81/446.31 = 257.31/x
  3. Step 3: Cross multiply
    297.81x = 446.31 × 257.31
  4. Step 4: Simplify right side
    297.81x = 114,840.03
  5. Step 5: Solve for x
    x = 114,840.03/297.81
  6. Step 6: Final answer
    x = 385.62

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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.