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Finding the Fourth Proportional to 363.92, 498.93 and 357.35

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Solution

The fourth proportional to 363.92, 498.93 and 357.35 is: 489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.92 : 498.93 = 357.35 : x
  2. Step 2: Convert to fraction form
    363.92/498.93 = 357.35/x
  3. Step 3: Cross multiply
    363.92x = 498.93 × 357.35
  4. Step 4: Simplify right side
    363.92x = 178,290.14
  5. Step 5: Solve for x
    x = 178,290.14/363.92
  6. Step 6: Final answer
    x = 489.92

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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.