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Finding the Fourth Proportional to 308.46, 460.64 and 290.46

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Solution

The fourth proportional to 308.46, 460.64 and 290.46 is: 433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.46 : 460.64 = 290.46 : x
  2. Step 2: Convert to fraction form
    308.46/460.64 = 290.46/x
  3. Step 3: Cross multiply
    308.46x = 460.64 × 290.46
  4. Step 4: Simplify right side
    308.46x = 133,796.04
  5. Step 5: Solve for x
    x = 133,796.04/308.46
  6. Step 6: Final answer
    x = 433.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.