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Finding the Fourth Proportional to 194.24, 289.68 and 172.58

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Solution

The fourth proportional to 194.24, 289.68 and 172.58 is: 257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.24 : 289.68 = 172.58 : x
  2. Step 2: Convert to fraction form
    194.24/289.68 = 172.58/x
  3. Step 3: Cross multiply
    194.24x = 289.68 × 172.58
  4. Step 4: Simplify right side
    194.24x = 49,991.53
  5. Step 5: Solve for x
    x = 49,991.53/194.24
  6. Step 6: Final answer
    x = 257.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.