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Finding the Fourth Proportional to 414.45, 571.56 and 320.90

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Solution

The fourth proportional to 414.45, 571.56 and 320.90 is: 442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.45 : 571.56 = 320.90 : x
  2. Step 2: Convert to fraction form
    414.45/571.56 = 320.90/x
  3. Step 3: Cross multiply
    414.45x = 571.56 × 320.90
  4. Step 4: Simplify right side
    414.45x = 183,410.75
  5. Step 5: Solve for x
    x = 183,410.75/414.45
  6. Step 6: Final answer
    x = 442.54

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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.