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Finding the Fourth Proportional to 360.88, 498.56 and 308.92

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Solution

The fourth proportional to 360.88, 498.56 and 308.92 is: 426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.88 : 498.56 = 308.92 : x
  2. Step 2: Convert to fraction form
    360.88/498.56 = 308.92/x
  3. Step 3: Cross multiply
    360.88x = 498.56 × 308.92
  4. Step 4: Simplify right side
    360.88x = 154,015.16
  5. Step 5: Solve for x
    x = 154,015.16/360.88
  6. Step 6: Final answer
    x = 426.78

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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.