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Finding the Fourth Proportional to 297.09, 446.56 and 216.29

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Solution

The fourth proportional to 297.09, 446.56 and 216.29 is: 325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.09 : 446.56 = 216.29 : x
  2. Step 2: Convert to fraction form
    297.09/446.56 = 216.29/x
  3. Step 3: Cross multiply
    297.09x = 446.56 × 216.29
  4. Step 4: Simplify right side
    297.09x = 96,587.04
  5. Step 5: Solve for x
    x = 96,587.04/297.09
  6. Step 6: Final answer
    x = 325.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.