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Finding the Fourth Proportional to 456.40, 629.73 and 257.19

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Solution

The fourth proportional to 456.40, 629.73 and 257.19 is: 354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.40 : 629.73 = 257.19 : x
  2. Step 2: Convert to fraction form
    456.40/629.73 = 257.19/x
  3. Step 3: Cross multiply
    456.40x = 629.73 × 257.19
  4. Step 4: Simplify right side
    456.40x = 161,960.26
  5. Step 5: Solve for x
    x = 161,960.26/456.40
  6. Step 6: Final answer
    x = 354.86

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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.