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Finding the Fourth Proportional to 451.02, 676.02 and 176.96

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Solution

The fourth proportional to 451.02, 676.02 and 176.96 is: 265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.02 : 676.02 = 176.96 : x
  2. Step 2: Convert to fraction form
    451.02/676.02 = 176.96/x
  3. Step 3: Cross multiply
    451.02x = 676.02 × 176.96
  4. Step 4: Simplify right side
    451.02x = 119,628.50
  5. Step 5: Solve for x
    x = 119,628.50/451.02
  6. Step 6: Final answer
    x = 265.24

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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.