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Finding the Fourth Proportional to 297.82, 444.56 and 277.30

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Solution

The fourth proportional to 297.82, 444.56 and 277.30 is: 413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.82 : 444.56 = 277.30 : x
  2. Step 2: Convert to fraction form
    297.82/444.56 = 277.30/x
  3. Step 3: Cross multiply
    297.82x = 444.56 × 277.30
  4. Step 4: Simplify right side
    297.82x = 123,276.49
  5. Step 5: Solve for x
    x = 123,276.49/297.82
  6. Step 6: Final answer
    x = 413.93

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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.