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Finding the Fourth Proportional to 289.80, 399.70 and 173.24

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Solution

The fourth proportional to 289.80, 399.70 and 173.24 is: 238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.80 : 399.70 = 173.24 : x
  2. Step 2: Convert to fraction form
    289.80/399.70 = 173.24/x
  3. Step 3: Cross multiply
    289.80x = 399.70 × 173.24
  4. Step 4: Simplify right side
    289.80x = 69,244.03
  5. Step 5: Solve for x
    x = 69,244.03/289.80
  6. Step 6: Final answer
    x = 238.94

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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.