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Finding the Fourth Proportional to 422.48, 633.88 and 166.16

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Solution

The fourth proportional to 422.48, 633.88 and 166.16 is: 249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.48 : 633.88 = 166.16 : x
  2. Step 2: Convert to fraction form
    422.48/633.88 = 166.16/x
  3. Step 3: Cross multiply
    422.48x = 633.88 × 166.16
  4. Step 4: Simplify right side
    422.48x = 105,325.50
  5. Step 5: Solve for x
    x = 105,325.50/422.48
  6. Step 6: Final answer
    x = 249.30

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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.