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Finding the Fourth Proportional to 297.89, 444.80 and 266.84

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Solution

The fourth proportional to 297.89, 444.80 and 266.84 is: 398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.89 : 444.80 = 266.84 : x
  2. Step 2: Convert to fraction form
    297.89/444.80 = 266.84/x
  3. Step 3: Cross multiply
    297.89x = 444.80 × 266.84
  4. Step 4: Simplify right side
    297.89x = 118,690.43
  5. Step 5: Solve for x
    x = 118,690.43/297.89
  6. Step 6: Final answer
    x = 398.44

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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.