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Finding the Fourth Proportional to 297.64, 410.78 and 173.31

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Solution

The fourth proportional to 297.64, 410.78 and 173.31 is: 239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.64 : 410.78 = 173.31 : x
  2. Step 2: Convert to fraction form
    297.64/410.78 = 173.31/x
  3. Step 3: Cross multiply
    297.64x = 410.78 × 173.31
  4. Step 4: Simplify right side
    297.64x = 71,192.28
  5. Step 5: Solve for x
    x = 71,192.28/297.64
  6. Step 6: Final answer
    x = 239.19

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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.