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Finding the Fourth Proportional to 456.98, 684.97 and 251.36

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Solution

The fourth proportional to 456.98, 684.97 and 251.36 is: 376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.98 : 684.97 = 251.36 : x
  2. Step 2: Convert to fraction form
    456.98/684.97 = 251.36/x
  3. Step 3: Cross multiply
    456.98x = 684.97 × 251.36
  4. Step 4: Simplify right side
    456.98x = 172,174.06
  5. Step 5: Solve for x
    x = 172,174.06/456.98
  6. Step 6: Final answer
    x = 376.76

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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.