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Finding the Fourth Proportional to 355.60, 489.60 and 331.12

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Solution

The fourth proportional to 355.60, 489.60 and 331.12 is: 455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.60 : 489.60 = 331.12 : x
  2. Step 2: Convert to fraction form
    355.60/489.60 = 331.12/x
  3. Step 3: Cross multiply
    355.60x = 489.60 × 331.12
  4. Step 4: Simplify right side
    355.60x = 162,116.35
  5. Step 5: Solve for x
    x = 162,116.35/355.60
  6. Step 6: Final answer
    x = 455.90

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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.