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Finding the Fourth Proportional to 363.92, 497.77 and 358.25

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Solution

The fourth proportional to 363.92, 497.77 and 358.25 is: 490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.92 : 497.77 = 358.25 : x
  2. Step 2: Convert to fraction form
    363.92/497.77 = 358.25/x
  3. Step 3: Cross multiply
    363.92x = 497.77 × 358.25
  4. Step 4: Simplify right side
    363.92x = 178,327.79
  5. Step 5: Solve for x
    x = 178,327.79/363.92
  6. Step 6: Final answer
    x = 490.02

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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.