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Finding the Fourth Proportional to 308.56, 427.84 and 292.16

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Solution

The fourth proportional to 308.56, 427.84 and 292.16 is: 405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.56 : 427.84 = 292.16 : x
  2. Step 2: Convert to fraction form
    308.56/427.84 = 292.16/x
  3. Step 3: Cross multiply
    308.56x = 427.84 × 292.16
  4. Step 4: Simplify right side
    308.56x = 124,997.73
  5. Step 5: Solve for x
    x = 124,997.73/308.56
  6. Step 6: Final answer
    x = 405.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.