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Finding the Fourth Proportional to 403.59, 606.48 and 338.88

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Solution

The fourth proportional to 403.59, 606.48 and 338.88 is: 509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.59 : 606.48 = 338.88 : x
  2. Step 2: Convert to fraction form
    403.59/606.48 = 338.88/x
  3. Step 3: Cross multiply
    403.59x = 606.48 × 338.88
  4. Step 4: Simplify right side
    403.59x = 205,523.94
  5. Step 5: Solve for x
    x = 205,523.94/403.59
  6. Step 6: Final answer
    x = 509.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.