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Finding the Fourth Proportional to 355.44, 489.60 and 277.68

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Solution

The fourth proportional to 355.44, 489.60 and 277.68 is: 382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.44 : 489.60 = 277.68 : x
  2. Step 2: Convert to fraction form
    355.44/489.60 = 277.68/x
  3. Step 3: Cross multiply
    355.44x = 489.60 × 277.68
  4. Step 4: Simplify right side
    355.44x = 135,952.13
  5. Step 5: Solve for x
    x = 135,952.13/355.44
  6. Step 6: Final answer
    x = 382.49

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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.