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Finding the Fourth Proportional to 297.85, 449.01 and 278.03

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Solution

The fourth proportional to 297.85, 449.01 and 278.03 is: 419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.85 : 449.01 = 278.03 : x
  2. Step 2: Convert to fraction form
    297.85/449.01 = 278.03/x
  3. Step 3: Cross multiply
    297.85x = 449.01 × 278.03
  4. Step 4: Simplify right side
    297.85x = 124,836.43
  5. Step 5: Solve for x
    x = 124,836.43/297.85
  6. Step 6: Final answer
    x = 419.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.