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Finding the Fourth Proportional to 451.06, 676.69 and 158.57

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Solution

The fourth proportional to 451.06, 676.69 and 158.57 is: 237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.06 : 676.69 = 158.57 : x
  2. Step 2: Convert to fraction form
    451.06/676.69 = 158.57/x
  3. Step 3: Cross multiply
    451.06x = 676.69 × 158.57
  4. Step 4: Simplify right side
    451.06x = 107,302.73
  5. Step 5: Solve for x
    x = 107,302.73/451.06
  6. Step 6: Final answer
    x = 237.89

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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.