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Finding the Fourth Proportional to 308.64, 422.92 and 308.16

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Solution

The fourth proportional to 308.64, 422.92 and 308.16 is: 422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.64 : 422.92 = 308.16 : x
  2. Step 2: Convert to fraction form
    308.64/422.92 = 308.16/x
  3. Step 3: Cross multiply
    308.64x = 422.92 × 308.16
  4. Step 4: Simplify right side
    308.64x = 130,327.03
  5. Step 5: Solve for x
    x = 130,327.03/308.64
  6. Step 6: Final answer
    x = 422.26

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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.