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Finding the Fourth Proportional to 403.12, 558.56 and 394.48

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Solution

The fourth proportional to 403.12, 558.56 and 394.48 is: 546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.12 : 558.56 = 394.48 : x
  2. Step 2: Convert to fraction form
    403.12/558.56 = 394.48/x
  3. Step 3: Cross multiply
    403.12x = 558.56 × 394.48
  4. Step 4: Simplify right side
    403.12x = 220,340.75
  5. Step 5: Solve for x
    x = 220,340.75/403.12
  6. Step 6: Final answer
    x = 546.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.