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Finding the Fourth Proportional to 363.56, 547.43 and 299.16

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Solution

The fourth proportional to 363.56, 547.43 and 299.16 is: 450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.56 : 547.43 = 299.16 : x
  2. Step 2: Convert to fraction form
    363.56/547.43 = 299.16/x
  3. Step 3: Cross multiply
    363.56x = 547.43 × 299.16
  4. Step 4: Simplify right side
    363.56x = 163,767.66
  5. Step 5: Solve for x
    x = 163,767.66/363.56
  6. Step 6: Final answer
    x = 450.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.