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Finding the Fourth Proportional to 558.38, 770.41 and 361.96

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Solution

The fourth proportional to 558.38, 770.41 and 361.96 is: 499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.38 : 770.41 = 361.96 : x
  2. Step 2: Convert to fraction form
    558.38/770.41 = 361.96/x
  3. Step 3: Cross multiply
    558.38x = 770.41 × 361.96
  4. Step 4: Simplify right side
    558.38x = 278,856.13
  5. Step 5: Solve for x
    x = 278,856.13/558.38
  6. Step 6: Final answer
    x = 499.40

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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.