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Finding the Fourth Proportional to 308.12, 460.08 and 254.12

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Solution

The fourth proportional to 308.12, 460.08 and 254.12 is: 379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.12 : 460.08 = 254.12 : x
  2. Step 2: Convert to fraction form
    308.12/460.08 = 254.12/x
  3. Step 3: Cross multiply
    308.12x = 460.08 × 254.12
  4. Step 4: Simplify right side
    308.12x = 116,915.53
  5. Step 5: Solve for x
    x = 116,915.53/308.12
  6. Step 6: Final answer
    x = 379.45

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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.