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Finding the Fourth Proportional to 354.08, 489.12 and 267.86

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Solution

The fourth proportional to 354.08, 489.12 and 267.86 is: 370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.08 : 489.12 = 267.86 : x
  2. Step 2: Convert to fraction form
    354.08/489.12 = 267.86/x
  3. Step 3: Cross multiply
    354.08x = 489.12 × 267.86
  4. Step 4: Simplify right side
    354.08x = 131,015.68
  5. Step 5: Solve for x
    x = 131,015.68/354.08
  6. Step 6: Final answer
    x = 370.02

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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.