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Finding the Fourth Proportional to 297.56, 410.51 and 173.19

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Solution

The fourth proportional to 297.56, 410.51 and 173.19 is: 238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.56 : 410.51 = 173.19 : x
  2. Step 2: Convert to fraction form
    297.56/410.51 = 173.19/x
  3. Step 3: Cross multiply
    297.56x = 410.51 × 173.19
  4. Step 4: Simplify right side
    297.56x = 71,096.23
  5. Step 5: Solve for x
    x = 71,096.23/297.56
  6. Step 6: Final answer
    x = 238.93

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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.