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Finding the Fourth Proportional to 412.25, 617.78 and 296.01

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Solution

The fourth proportional to 412.25, 617.78 and 296.01 is: 443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.25 : 617.78 = 296.01 : x
  2. Step 2: Convert to fraction form
    412.25/617.78 = 296.01/x
  3. Step 3: Cross multiply
    412.25x = 617.78 × 296.01
  4. Step 4: Simplify right side
    412.25x = 182,867.58
  5. Step 5: Solve for x
    x = 182,867.58/412.25
  6. Step 6: Final answer
    x = 443.59

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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.