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Finding the Fourth Proportional to 363.32, 499.84 and 297.68

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Solution

The fourth proportional to 363.32, 499.84 and 297.68 is: 409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.32 : 499.84 = 297.68 : x
  2. Step 2: Convert to fraction form
    363.32/499.84 = 297.68/x
  3. Step 3: Cross multiply
    363.32x = 499.84 × 297.68
  4. Step 4: Simplify right side
    363.32x = 148,792.37
  5. Step 5: Solve for x
    x = 148,792.37/363.32
  6. Step 6: Final answer
    x = 409.54

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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.