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Finding the Fourth Proportional to 297.74, 448.34 and 221.25

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Solution

The fourth proportional to 297.74, 448.34 and 221.25 is: 333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.74 : 448.34 = 221.25 : x
  2. Step 2: Convert to fraction form
    297.74/448.34 = 221.25/x
  3. Step 3: Cross multiply
    297.74x = 448.34 × 221.25
  4. Step 4: Simplify right side
    297.74x = 99,195.23
  5. Step 5: Solve for x
    x = 99,195.23/297.74
  6. Step 6: Final answer
    x = 333.16

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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.