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Finding the Fourth Proportional to 402.05, 554.55 and 323.55

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Solution

The fourth proportional to 402.05, 554.55 and 323.55 is: 446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.05 : 554.55 = 323.55 : x
  2. Step 2: Convert to fraction form
    402.05/554.55 = 323.55/x
  3. Step 3: Cross multiply
    402.05x = 554.55 × 323.55
  4. Step 4: Simplify right side
    402.05x = 179,424.65
  5. Step 5: Solve for x
    x = 179,424.65/402.05
  6. Step 6: Final answer
    x = 446.27

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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.