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Finding the Fourth Proportional to 419, 576.60 and 320.36

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Solution

The fourth proportional to 419, 576.60 and 320.36 is: 440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419 : 576.60 = 320.36 : x
  2. Step 2: Convert to fraction form
    419/576.60 = 320.36/x
  3. Step 3: Cross multiply
    419x = 576.60 × 320.36
  4. Step 4: Simplify right side
    419x = 184,719.58
  5. Step 5: Solve for x
    x = 184,719.58/419
  6. Step 6: Final answer
    x = 440.86

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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.