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Finding the Fourth Proportional to 300.71, 414.16 and 277.48

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Solution

The fourth proportional to 300.71, 414.16 and 277.48 is: 382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.71 : 414.16 = 277.48 : x
  2. Step 2: Convert to fraction form
    300.71/414.16 = 277.48/x
  3. Step 3: Cross multiply
    300.71x = 414.16 × 277.48
  4. Step 4: Simplify right side
    300.71x = 114,920.17
  5. Step 5: Solve for x
    x = 114,920.17/300.71
  6. Step 6: Final answer
    x = 382.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.