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Finding the Fourth Proportional to 417.92, 576.80 and 301.28

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Solution

The fourth proportional to 417.92, 576.80 and 301.28 is: 415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.92 : 576.80 = 301.28 : x
  2. Step 2: Convert to fraction form
    417.92/576.80 = 301.28/x
  3. Step 3: Cross multiply
    417.92x = 576.80 × 301.28
  4. Step 4: Simplify right side
    417.92x = 173,778.30
  5. Step 5: Solve for x
    x = 173,778.30/417.92
  6. Step 6: Final answer
    x = 415.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.