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Finding the Fourth Proportional to 308.25, 460.47 and 253.89

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Solution

The fourth proportional to 308.25, 460.47 and 253.89 is: 379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.25 : 460.47 = 253.89 : x
  2. Step 2: Convert to fraction form
    308.25/460.47 = 253.89/x
  3. Step 3: Cross multiply
    308.25x = 460.47 × 253.89
  4. Step 4: Simplify right side
    308.25x = 116,908.73
  5. Step 5: Solve for x
    x = 116,908.73/308.25
  6. Step 6: Final answer
    x = 379.27

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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.