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Finding the Fourth Proportional to 451.23, 675.99 and 268.07

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Solution

The fourth proportional to 451.23, 675.99 and 268.07 is: 401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.23 : 675.99 = 268.07 : x
  2. Step 2: Convert to fraction form
    451.23/675.99 = 268.07/x
  3. Step 3: Cross multiply
    451.23x = 675.99 × 268.07
  4. Step 4: Simplify right side
    451.23x = 181,211.30
  5. Step 5: Solve for x
    x = 181,211.30/451.23
  6. Step 6: Final answer
    x = 401.59

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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.