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Finding the Fourth Proportional to 409.86, 566.46 and 352.62

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Solution

The fourth proportional to 409.86, 566.46 and 352.62 is: 487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.86 : 566.46 = 352.62 : x
  2. Step 2: Convert to fraction form
    409.86/566.46 = 352.62/x
  3. Step 3: Cross multiply
    409.86x = 566.46 × 352.62
  4. Step 4: Simplify right side
    409.86x = 199,745.13
  5. Step 5: Solve for x
    x = 199,745.13/409.86
  6. Step 6: Final answer
    x = 487.35

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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.