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Finding the Fourth Proportional to 404.64, 557.64 and 321.48

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Solution

The fourth proportional to 404.64, 557.64 and 321.48 is: 443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.64 : 557.64 = 321.48 : x
  2. Step 2: Convert to fraction form
    404.64/557.64 = 321.48/x
  3. Step 3: Cross multiply
    404.64x = 557.64 × 321.48
  4. Step 4: Simplify right side
    404.64x = 179,270.11
  5. Step 5: Solve for x
    x = 179,270.11/404.64
  6. Step 6: Final answer
    x = 443.04

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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.