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Finding the Fourth Proportional to 193.64, 289.09 and 172.04

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Solution

The fourth proportional to 193.64, 289.09 and 172.04 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 289.09 = 172.04 : x
  2. Step 2: Convert to fraction form
    193.64/289.09 = 172.04/x
  3. Step 3: Cross multiply
    193.64x = 289.09 × 172.04
  4. Step 4: Simplify right side
    193.64x = 49,735.04
  5. Step 5: Solve for x
    x = 49,735.04/193.64
  6. Step 6: Final answer
    x = 256.84

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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.