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Finding the Fourth Proportional to 297.82, 410.32 and 222.81

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Solution

The fourth proportional to 297.82, 410.32 and 222.81 is: 306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.82 : 410.32 = 222.81 : x
  2. Step 2: Convert to fraction form
    297.82/410.32 = 222.81/x
  3. Step 3: Cross multiply
    297.82x = 410.32 × 222.81
  4. Step 4: Simplify right side
    297.82x = 91,423.40
  5. Step 5: Solve for x
    x = 91,423.40/297.82
  6. Step 6: Final answer
    x = 306.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.