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Finding the Fourth Proportional to 451.20, 676.30 and 177.20

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Solution

The fourth proportional to 451.20, 676.30 and 177.20 is: 265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.20 : 676.30 = 177.20 : x
  2. Step 2: Convert to fraction form
    451.20/676.30 = 177.20/x
  3. Step 3: Cross multiply
    451.20x = 676.30 × 177.20
  4. Step 4: Simplify right side
    451.20x = 119,840.36
  5. Step 5: Solve for x
    x = 119,840.36/451.20
  6. Step 6: Final answer
    x = 265.60

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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.