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Finding the Fourth Proportional to 297.47, 409.99 and 223.66

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Solution

The fourth proportional to 297.47, 409.99 and 223.66 is: 308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.47 : 409.99 = 223.66 : x
  2. Step 2: Convert to fraction form
    297.47/409.99 = 223.66/x
  3. Step 3: Cross multiply
    297.47x = 409.99 × 223.66
  4. Step 4: Simplify right side
    297.47x = 91,696.31
  5. Step 5: Solve for x
    x = 91,696.31/297.47
  6. Step 6: Final answer
    x = 308.26

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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.