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Finding the Fourth Proportional to 363.69, 498.69 and 358.83

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Solution

The fourth proportional to 363.69, 498.69 and 358.83 is: 492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.69 : 498.69 = 358.83 : x
  2. Step 2: Convert to fraction form
    363.69/498.69 = 358.83/x
  3. Step 3: Cross multiply
    363.69x = 498.69 × 358.83
  4. Step 4: Simplify right side
    363.69x = 178,944.93
  5. Step 5: Solve for x
    x = 178,944.93/363.69
  6. Step 6: Final answer
    x = 492.03

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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.