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Finding the Fourth Proportional to 355.83, 489.80 and 285.36

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Solution

The fourth proportional to 355.83, 489.80 and 285.36 is: 392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.83 : 489.80 = 285.36 : x
  2. Step 2: Convert to fraction form
    355.83/489.80 = 285.36/x
  3. Step 3: Cross multiply
    355.83x = 489.80 × 285.36
  4. Step 4: Simplify right side
    355.83x = 139,767.90
  5. Step 5: Solve for x
    x = 139,767.90/355.83
  6. Step 6: Final answer
    x = 392.79

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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.