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Finding the Fourth Proportional to 412.05, 566.25 and 393.02

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Solution

The fourth proportional to 412.05, 566.25 and 393.02 is: 540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.05 : 566.25 = 393.02 : x
  2. Step 2: Convert to fraction form
    412.05/566.25 = 393.02/x
  3. Step 3: Cross multiply
    412.05x = 566.25 × 393.02
  4. Step 4: Simplify right side
    412.05x = 222,544.74
  5. Step 5: Solve for x
    x = 222,544.74/412.05
  6. Step 6: Final answer
    x = 540.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.