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Finding the Fourth Proportional to 308.54, 460.35 and 277.79

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Solution

The fourth proportional to 308.54, 460.35 and 277.79 is: 414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.54 : 460.35 = 277.79 : x
  2. Step 2: Convert to fraction form
    308.54/460.35 = 277.79/x
  3. Step 3: Cross multiply
    308.54x = 460.35 × 277.79
  4. Step 4: Simplify right side
    308.54x = 127,880.63
  5. Step 5: Solve for x
    x = 127,880.63/308.54
  6. Step 6: Final answer
    x = 414.47

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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.