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Finding the Fourth Proportional to 297.70, 444.35 and 261.25

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Solution

The fourth proportional to 297.70, 444.35 and 261.25 is: 389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.70 : 444.35 = 261.25 : x
  2. Step 2: Convert to fraction form
    297.70/444.35 = 261.25/x
  3. Step 3: Cross multiply
    297.70x = 444.35 × 261.25
  4. Step 4: Simplify right side
    297.70x = 116,086.44
  5. Step 5: Solve for x
    x = 116,086.44/297.70
  6. Step 6: Final answer
    x = 389.94

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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.