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Finding the Fourth Proportional to 456.88, 685.30 and 251.55

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Solution

The fourth proportional to 456.88, 685.30 and 251.55 is: 377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.88 : 685.30 = 251.55 : x
  2. Step 2: Convert to fraction form
    456.88/685.30 = 251.55/x
  3. Step 3: Cross multiply
    456.88x = 685.30 × 251.55
  4. Step 4: Simplify right side
    456.88x = 172,387.22
  5. Step 5: Solve for x
    x = 172,387.22/456.88
  6. Step 6: Final answer
    x = 377.31

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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.