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Finding the Fourth Proportional to 297.69, 444.83 and 215.03

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Solution

The fourth proportional to 297.69, 444.83 and 215.03 is: 321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.69 : 444.83 = 215.03 : x
  2. Step 2: Convert to fraction form
    297.69/444.83 = 215.03/x
  3. Step 3: Cross multiply
    297.69x = 444.83 × 215.03
  4. Step 4: Simplify right side
    297.69x = 95,648.50
  5. Step 5: Solve for x
    x = 95,648.50/297.69
  6. Step 6: Final answer
    x = 321.30

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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.