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Finding the Fourth Proportional to 308.61, 460.49 and 277.83

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Solution

The fourth proportional to 308.61, 460.49 and 277.83 is: 414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.61 : 460.49 = 277.83 : x
  2. Step 2: Convert to fraction form
    308.61/460.49 = 277.83/x
  3. Step 3: Cross multiply
    308.61x = 460.49 × 277.83
  4. Step 4: Simplify right side
    308.61x = 127,936.55
  5. Step 5: Solve for x
    x = 127,936.55/308.61
  6. Step 6: Final answer
    x = 414.56

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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.