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Finding the Fourth Proportional to 363.06, 498.06 and 353.88

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Solution

The fourth proportional to 363.06, 498.06 and 353.88 is: 485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.06 : 498.06 = 353.88 : x
  2. Step 2: Convert to fraction form
    363.06/498.06 = 353.88/x
  3. Step 3: Cross multiply
    363.06x = 498.06 × 353.88
  4. Step 4: Simplify right side
    363.06x = 176,253.47
  5. Step 5: Solve for x
    x = 176,253.47/363.06
  6. Step 6: Final answer
    x = 485.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.