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Finding the Fourth Proportional to 297.95, 444.80 and 276.55

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Solution

The fourth proportional to 297.95, 444.80 and 276.55 is: 412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.95 : 444.80 = 276.55 : x
  2. Step 2: Convert to fraction form
    297.95/444.80 = 276.55/x
  3. Step 3: Cross multiply
    297.95x = 444.80 × 276.55
  4. Step 4: Simplify right side
    297.95x = 123,009.02
  5. Step 5: Solve for x
    x = 123,009.02/297.95
  6. Step 6: Final answer
    x = 412.86

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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.