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Finding the Fourth Proportional to 308.64, 464.92 and 252.32

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Solution

The fourth proportional to 308.64, 464.92 and 252.32 is: 380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.64 : 464.92 = 252.32 : x
  2. Step 2: Convert to fraction form
    308.64/464.92 = 252.32/x
  3. Step 3: Cross multiply
    308.64x = 464.92 × 252.32
  4. Step 4: Simplify right side
    308.64x = 117,308.61
  5. Step 5: Solve for x
    x = 117,308.61/308.64
  6. Step 6: Final answer
    x = 380.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.