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Finding the Fourth Proportional to 442.97, 611.30 and 277.28

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Solution

The fourth proportional to 442.97, 611.30 and 277.28 is: 382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.97 : 611.30 = 277.28 : x
  2. Step 2: Convert to fraction form
    442.97/611.30 = 277.28/x
  3. Step 3: Cross multiply
    442.97x = 611.30 × 277.28
  4. Step 4: Simplify right side
    442.97x = 169,496.82
  5. Step 5: Solve for x
    x = 169,496.82/442.97
  6. Step 6: Final answer
    x = 382.64

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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.