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Finding the Fourth Proportional to 393.17, 589.23 and 173.72

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Solution

The fourth proportional to 393.17, 589.23 and 173.72 is: 260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.17 : 589.23 = 173.72 : x
  2. Step 2: Convert to fraction form
    393.17/589.23 = 173.72/x
  3. Step 3: Cross multiply
    393.17x = 589.23 × 173.72
  4. Step 4: Simplify right side
    393.17x = 102,358.09
  5. Step 5: Solve for x
    x = 102,358.09/393.17
  6. Step 6: Final answer
    x = 260.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.