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Finding the Fourth Proportional to 308.36, 464.72 and 290.12

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Solution

The fourth proportional to 308.36, 464.72 and 290.12 is: 437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.36 : 464.72 = 290.12 : x
  2. Step 2: Convert to fraction form
    308.36/464.72 = 290.12/x
  3. Step 3: Cross multiply
    308.36x = 464.72 × 290.12
  4. Step 4: Simplify right side
    308.36x = 134,824.57
  5. Step 5: Solve for x
    x = 134,824.57/308.36
  6. Step 6: Final answer
    x = 437.23

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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.