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Finding the Fourth Proportional to 412.42, 617.72 and 219.64

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Solution

The fourth proportional to 412.42, 617.72 and 219.64 is: 328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.42 : 617.72 = 219.64 : x
  2. Step 2: Convert to fraction form
    412.42/617.72 = 219.64/x
  3. Step 3: Cross multiply
    412.42x = 617.72 × 219.64
  4. Step 4: Simplify right side
    412.42x = 135,676.02
  5. Step 5: Solve for x
    x = 135,676.02/412.42
  6. Step 6: Final answer
    x = 328.98

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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.