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Finding the Fourth Proportional to 471.61, 706.64 and 163.30

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Solution

The fourth proportional to 471.61, 706.64 and 163.30 is: 244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.61 : 706.64 = 163.30 : x
  2. Step 2: Convert to fraction form
    471.61/706.64 = 163.30/x
  3. Step 3: Cross multiply
    471.61x = 706.64 × 163.30
  4. Step 4: Simplify right side
    471.61x = 115,394.31
  5. Step 5: Solve for x
    x = 115,394.31/471.61
  6. Step 6: Final answer
    x = 244.68

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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.