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Finding the Fourth Proportional to 297.30, 410.76 and 223.86

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Solution

The fourth proportional to 297.30, 410.76 and 223.86 is: 309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.30 : 410.76 = 223.86 : x
  2. Step 2: Convert to fraction form
    297.30/410.76 = 223.86/x
  3. Step 3: Cross multiply
    297.30x = 410.76 × 223.86
  4. Step 4: Simplify right side
    297.30x = 91,952.73
  5. Step 5: Solve for x
    x = 91,952.73/297.30
  6. Step 6: Final answer
    x = 309.29

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