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Finding the Fourth Proportional to 404.37, 557.67 and 355.14

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Solution

The fourth proportional to 404.37, 557.67 and 355.14 is: 489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.37 : 557.67 = 355.14 : x
  2. Step 2: Convert to fraction form
    404.37/557.67 = 355.14/x
  3. Step 3: Cross multiply
    404.37x = 557.67 × 355.14
  4. Step 4: Simplify right side
    404.37x = 198,050.92
  5. Step 5: Solve for x
    x = 198,050.92/404.37
  6. Step 6: Final answer
    x = 489.78

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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.