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Finding the Fourth Proportional to 450.62, 676.20 and 176.74

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Solution

The fourth proportional to 450.62, 676.20 and 176.74 is: 265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.62 : 676.20 = 176.74 : x
  2. Step 2: Convert to fraction form
    450.62/676.20 = 176.74/x
  3. Step 3: Cross multiply
    450.62x = 676.20 × 176.74
  4. Step 4: Simplify right side
    450.62x = 119,511.59
  5. Step 5: Solve for x
    x = 119,511.59/450.62
  6. Step 6: Final answer
    x = 265.22

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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.