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Finding the Fourth Proportional to 453.85, 626.18 and 257.31

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Solution

The fourth proportional to 453.85, 626.18 and 257.31 is: 355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.85 : 626.18 = 257.31 : x
  2. Step 2: Convert to fraction form
    453.85/626.18 = 257.31/x
  3. Step 3: Cross multiply
    453.85x = 626.18 × 257.31
  4. Step 4: Simplify right side
    453.85x = 161,121.09
  5. Step 5: Solve for x
    x = 161,121.09/453.85
  6. Step 6: Final answer
    x = 355.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.