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Finding the Fourth Proportional to 418.92, 576.79 and 355.77

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Solution

The fourth proportional to 418.92, 576.79 and 355.77 is: 489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.92 : 576.79 = 355.77 : x
  2. Step 2: Convert to fraction form
    418.92/576.79 = 355.77/x
  3. Step 3: Cross multiply
    418.92x = 576.79 × 355.77
  4. Step 4: Simplify right side
    418.92x = 205,203.14
  5. Step 5: Solve for x
    x = 205,203.14/418.92
  6. Step 6: Final answer
    x = 489.84

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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.