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Finding the Fourth Proportional to 403.48, 603.36 and 299.56

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Solution

The fourth proportional to 403.48, 603.36 and 299.56 is: 447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.48 : 603.36 = 299.56 : x
  2. Step 2: Convert to fraction form
    403.48/603.36 = 299.56/x
  3. Step 3: Cross multiply
    403.48x = 603.36 × 299.56
  4. Step 4: Simplify right side
    403.48x = 180,742.52
  5. Step 5: Solve for x
    x = 180,742.52/403.48
  6. Step 6: Final answer
    x = 447.96

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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.