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Finding the Fourth Proportional to 456.25, 629.45 and 290.43

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Solution

The fourth proportional to 456.25, 629.45 and 290.43 is: 400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.25 : 629.45 = 290.43 : x
  2. Step 2: Convert to fraction form
    456.25/629.45 = 290.43/x
  3. Step 3: Cross multiply
    456.25x = 629.45 × 290.43
  4. Step 4: Simplify right side
    456.25x = 182,809.71
  5. Step 5: Solve for x
    x = 182,809.71/456.25
  6. Step 6: Final answer
    x = 400.68

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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.